A line passes through the points (-2, 9) and (1, 3).

Provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form.

Answers

Answer 1

Answer:

slope = -2

y-intercept = 5

Step-by-step explanation:

1) Find slope:

[tex]\frac{3-9}{1-(-2)}[/tex] =  [tex]\frac{-6}{3}[/tex] = -2

-2 = slope

2) Find y intercept trough point slope and slope-intercept forms

y - y1 = m (x - x1)

y - 9 = -2 (x + 2)

y - 9 = -2x -4

  + 9         + 9

y = -2x + 5

y = mx + b with b being the y-intercept

5 = y-intercept


Related Questions

what is 174 divided by 74

Answers

Answer:

2.35

Step-by-step explanation:

Answer:

2.35

Step-by-step explanation:

I hope this helps you!

Given that 2x - 45=7y and 3x=15, what is the value of y+2?
-

Answers

Answer:

the value of y+2 is 21+2=24y

pls help i’ll try to give brainlist

Answers

Answer:

1.In the early 19th century, Napoleon's occupation of Spain led to the outbreak of revolts all across Spanish America. Miguel Hidalgo y Costilla—“the father of Mexican independence”—launched the Mexican rebellion with his “Cry of Dolores,” and his populist army came close to capturing the Mexican capital.

2.May marks two key anniversaries in the conflict between the United States and Mexico that set in motion the Civil War—and led to California, Texas, and eight other states joining the Union.

On May 13, 1846, the United States Congress declared war on Mexico after a request from President James K. Polk. Then, on May 26, 1848, both sides ratified the peace treaty that ended the conflict.

The conflict centered on the independent Republic of Texas, which opted to join the United States after establishing its independence from Mexico a decade earlier.

The new U.S. president, James K. Polk, also wanted Texas as part of the United States, and his predecessor, John Tyler, had a late change of heart and started the admission process before he left office. Polk and others saw the acquisition of Texas, California, Oregon, and other territories as part of the nation’s Manifest Destiny to spread democracy over the continent.

The U.S. also tried to buy Texas and what was called “Mexican California” from Mexico, which was seen as an insult by Mexico, before war broke out.

Mexico considered the annexation of Texas as an act of war. After a series of border skirmishes, President Polk asked Congress for the war declaration because, under Article I, Section 8 of the Constitution, only Congress could declare war.

In the fighting that followed, the mostly-volunteer United States military secured control of Mexico after a series of battles, and the Treaty of Guadalupe Hidalgo was signed on February 2, 1848.

It was the first large-scale success of a United States military force on foreign soil.

Mexico received a little more than $18 million in compensation from the United States as part of the treaty.

The pact set a border between Texas and Mexico and ceded California, Nevada, Utah, New Mexico, most of Arizona and Colorado, and parts of Oklahoma, Kansas, and Wyoming to the United States. Their transfer to the United States’ control also cut the territorial size of Mexico in half.

On the surface, the war’s outcome seemed like a bonanza for the United States. But the acquisition of so much territory with the issue of slavery unresolved lit the fuse that eventually set off the Civil War in 1861. But the underlying issue was how adding new states and territories would alter the balance between free and slave states was critical.

On the battlefield, Robert E. Lee, Ulysses S. Grant, and Stonewall Jackson were among those who served in the war against Mexico who would later gain prominence in the American Civil War.

MARKING BRAINLIEST PLEASE HELP

Answers

-15x + 210 = 90 (I got 210 because it’s the distance the line is on now)

So -15x = 90 - 210

-15x = -120
Divide both sides by -15 that equals 8 so the your answer is but if it’s the time before the draining began (I will assume at 0) then the answer would be 3 + 8, it will be 11 hours for it to reach 90

helppppppppp[pppppp[pppppppppp

Answers

Answer:A

Step-by-step explanation:i mean that sound logiclity correct

Solve the system of linear equations y= 2x -3Y= x + 6

Answers

Answer:

x=9, y=15. (9, 15).

Step-by-step explanation:

y=2x-3

y=x+6

----------

2x-3=x+6

2x-x-3=6

x-3=6

x=6+3

x=9

y=9+6=15

1. Reduce the ratio to the simplest form:
a)5:10=_____.
b)60:54=____.

Answers

Answer:

1:2 by division of 5

10:9 by division of 6

A. 1:2

B. 10:9
have a great day

Veronica tried to solve an equation step by step.

8 = y - 4.6

8 + 4.6 = y - 4.6 +4.6 Step one

12.6 = y step two

Which step is wrong or are no steps wrong?

Answers

No steps are wrong. To solve this equation, you need to isolate the y. So, you would add 4.6 to both sides to cancel out the 4.6 on the right side and isolate the y.

Which equation represents the partial sum of the geometric series? mc006-1. Jpg 125 25 5 1 25 5 1 one-fifth 1 one-fifth StartFraction 1 Over 25 EndFraction StartFraction 1 Over 125 EndFraction StartFraction 1 Over 125 EndFraction one-fifth 5 125.

Answers

The equation that represents the partial sum of the geometric series is 125, 25, 5, 1

Given the partial sum of a geometric sequence expressed as:

[tex]\sum\left { n=4 \atop {n=1}} \right. 125(\frac{1}{5} )^{n-1}[/tex]

If n = 1, the

a(1) = [tex]125(\frac{1}{5} )^{1-1}\\[/tex]

a(1) = [tex]125(\frac{1}{5} )^{0}\\[/tex]

a(1) = 125

If n = 2

a(2) = [tex]125(\frac{1}{5} )^{2-1}\\[/tex]

a(2) = [tex]125(\frac{1}{5} )^{1}\\[/tex]

a(2) = 25

If n = 3

a(3)= [tex]125(\frac{1}{5} )^{3-1}\\[/tex]

a(3) = [tex]125(\frac{1}{5} )^{2}\\[/tex]

a(3) = 5

If n = 4

a(4)= [tex]125(\frac{1}{5} )^{4-1}\\[/tex]

a(4) = [tex]125(\frac{1}{5} )^{3}\\[/tex]

a(4) = 1

Hence the equation that represents the partial sum of the geometric series is 125, 25, 5, 1

Learn more on geometric sequence here: https://brainly.com/question/24643676

Answer:

a

Step-by-step explanation:

evaluate the expression when p = 4. p^2+5 no links pls ​

Answers

Answer:

21

Step-by-step explanation:

when p is 4

p² + 5 = 4² + 5

16 + 5 = 21

13. A new bank customer with $5,000 wants to open a money market account. The bank is
offering a simple interest rate of 1.3%.
a. How much interest will the customer earn in 10 years?
b. What will the account balance be after 10 years?
2 POINTS

Answers

Answer:

a) 900 dollars

b) 5900 dollars

Step-by-step explanation:

The complete question is

A new bank customer with $5,000 wants to open a money market account. The bank is offering a simple interest rate of 1.8%. a. How much interest will the customer earn in 10 years? b. What will the account balance be after 10 years?

Can i get some help :

Answers

Answer:

b = [tex]\frac{7}{12}[/tex]

Step-by-step explanation:

b + [tex]\frac{2}{3}[/tex] = 1 [tex]\frac{1}{4}[/tex] ← change to an improper fraction

b + [tex]\frac{2}{3}[/tex] = [tex]\frac{5}{4}[/tex]

Multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions

12b + 8 = 15 ( subtract 8 from both sides )

12b = 7 ( divide both sides by 12 )

b = [tex]\frac{7}{12}[/tex]

Answer:

The value of b is 7/12.

Step-by-step explanation:

Question :

Solve for b.

[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Enter your answer as a fraction in simplest form in the box.

[tex]\implies{\sf{b = \square}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

Solution :

[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Converting the mixed fractions into improper fraction.

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{(1 \times 4) + 1}{4}}}}[/tex]

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{(4)+ 1}{4}}}}[/tex]

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{4+ 1}{4}}}}[/tex]

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{5}{4}}}}[/tex]

Now, transporting LHS to RHS.

[tex]{\implies{\sf{b= \dfrac{5}{4} - \dfrac{2}{3}}}}[/tex]

Taking LCM of denominators and subtracting.

[tex]{\implies{\sf{b= \dfrac{(5 \times 3) - (2 \times 4)}{12}}}}[/tex]

[tex]{\implies{\sf{b= \dfrac{(15) - (8)}{12}}}}[/tex]

[tex]{\implies{\sf{b= \dfrac{15 - 8}{12}}}}[/tex]

[tex]{\implies{\sf{b= \dfrac{7}{12}}}}[/tex]

[tex]{\star{\red{\underline{\boxed{\sf{b= \dfrac{7}{12}}}}}}}[/tex]

Hence, the value of b is 7/12.

[tex]\begin{gathered}\end{gathered}[/tex]

Verification :

[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Substituting the value of (b=7/12)

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Converting mixed fractions into improper fraction

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{(1 \times 4) + 1}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{(4) + 1}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{4 + 1}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{5}{4}}}}[/tex]

Taking LCM of denominators in LHS and adding.

[tex]{\implies{\sf{ \dfrac{(7 \times 1) + (2 \times 4)}{12} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{(7) + (8)}{12} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7 + 8}{12} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{15}{12} = \dfrac{5}{4}}}}[/tex]

Cutting the fraction to simplest form.

[tex]{\implies{\sf{ \cancel{\dfrac{15}{12}} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{5}{4}= \dfrac{5}{4}}}}[/tex]

[tex]{\star{\red{\underline{\boxed{\sf{LHS = RHS}}}}}}[/tex]

Hence Verified!

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]

10. Mrs. Taylor wants to lay new carpet in the entrance and hallway of her home as shown below. The carpet she selected sells for $2.50 a square foot. How much will it cost to lay the carpet in the entrance and hallway?

Answers

Don’t u just multiply $2.50 to 2…

1)
Which of the following is not a linear equation in one variable?
(a) 32+5 = 0 (b) 3(x+y) = 0 (c) 3x+5 = 0 (d) 3y+5 = 0

Answers

Answer:

letter c is the answer

Step-by-step explanation:

hope it helps you

Answer:

The answer is Option C.) 3x+5 = 0

Step-by-step explanation:

Option A, can't be the answer. It doesn't show a linear graph. Therefore it's incorrect.

Option B, can't be the answer. It doesn't show a linear graph either. This one is also incorrect.

Option C, on the other hand, is correct because it's not a linear equation.

Option D, can't be the answer. It shows a graph, but with a squiggly line. Therefore, this one is also incorrect.

Hope this helps!

Have a nice day/night/afternoon.

(Can you mark me brainliest?)

- ❤ 7272033Alt ❤

Mrs. Jerry wants her twenty-five students to each have forty-eight buttons to make a craft project. Mrs. Jerry finds buttons in bags at a store. There are fifteen buttons in each bag. How many bags of buttons does Mrs. Jerry need to buy so she has exactly enough buttons for her twenty-five students? Show all your mathematical thinking.​

Answers

Answer:

25X48=1200 buttons in all

1200 divided by 15 = 80

She needs to buy 80 bags which totals 1200 buttons

Step-by-step explanation:

If you multiply 25 and 48 it is 1200

Divide 1200 and 15

Answer: 80

1. Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)2. Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)please help with atleast one problem i need help asap

Answers

Answer:

Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)

y = x - 1

Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)

y = 4x + 9

Step-by-step explanation:

Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)

y = mx + b

if slope is 1, m= 1

y = x + b

if passing through (0,-1), then y = -1, x = 0

-1 = (0) + b

b = -1

then

y = x - 1

Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)

y = mx + b

if slope is 4, m= 4

y = 4x + b

if passing through (0,-1), then y = 1, x = -2

1 = 4(-2) + b

b = 9

then

y = 4x + 9

how many cases does he hear per hour?

Answers

Answer:

13

Step-by-step explanation:

5 x 2 2/3

= 5 x 8/3 = 40/3 =13 1/3

So it's basically 13  1/3, but its 13.

a)
3
NIX 01/x
b
b)
=
= 8.5

Answers

Answer:

a = 8.5  

Step-by-step explanation:

6) A square has an area of 50.4 in? What is its side length (rounded to the nearest whole inch)?

Answers

Answer:

7inches.

Step-by-step explanation:

the properties of a square is that it has the same length and width (and height. but height isn't needed here).

since the area is 50.4 inch^2, square root this value,

[tex]\sqrt{50.4}[/tex]=7inches.

Marhannah must make a costume for the school play. She needs a piece of fabric that’s is 8/3 yards long and 3/2 yards wide. What is the area of the piece of fabric Marhannah needs?

Answers

Answer:

Our material is 54" wide. Here is a helpful chart to help you quickly convert linear yards into inches and feet.

How big is one linear yard of fabric?

Yards Length Width

3 108 Inches (9 Feet) 54 Inches (4.5 Feet)

4 144 Inches (12 Feet) 54 Inches (4.5 Feet)

Step-by-step explanation:

C A R R Y

O N

L E A R N I N G

The area of the piece of fabric Marhannah needs is 4 yards.

Steps:
area = l x w
area = 8/3 x 3/2

8/3 • 3/2 = 4

please help me with this

Answers

Answer:

MN=9.1 cm

LM= 9.9 cm

Step-by-step explanation:

State the y-coordinate of the yintercept for the function below.
f(x) = 4x^3-12x^2-x+15

Answers

Answer:

15

Step-by-step explanation:

let y = f(x)

substitute x = 0

y = 4(0)^3-12(0)^2-(0)+15 = 15

Which property should Remus use to solve the equation below? 7 q = 49 division property of equality addition property of equality subtraction property of equality identity property of equality.

Answers

Answer:

Division Property

Step-by-step explanation:

He needs to divide both sides by 7 to find the value of q

The division property of equality should Remus used to solve the given equation and this can be determined by using the given data.

Given :

Equation is [tex]7q = 49[/tex].

The following steps can be used in order to determine the property that Remus use to solve the given equation:

Step 1 - Write the given equation.

[tex]7q = 49[/tex]

Step 2 - The arithmetic operations can be used in order to evaluate the given equation.

Step 3 - Using the division property of equality the value of 'q' can be determined.

[tex]q = \dfrac{49}{7}[/tex]

[tex]q = 7[/tex]

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/11897796

1/3(1/6 + 5/12) - 1/36

Answers

Answer:

1/6

Step-by-step explanation:

Apply the distributive property.

1/3 x 1/6 = 2/36

1/3 x 5/12 = 5/36

Add the products.

2/36 + 5/36 = 7/36

Subtract the result by the 1/36.

7/36 - 1/36 = 6/36

Simplify the fraction.

6/36 = 1/6

-hope it helps

Simplify.

(–12x) ÷ (–2)


6x


12x


3x


112x

Answers

hope this helps. leave a comment if you have a question.

Hello there!

Question:-

[tex]( - 12x) ÷ ( - 2)[/tex]

This is an algebraic expression.We need to find the result of it.

Solution:-

[tex]\sf \longmapsto (- 12x) \div ( - 2)[/tex]

This algebraic expression may be rewritten as:-

[tex]\sf \longmapsto \: \dfrac{ - 12x}{2} [/tex]

Cancel the minus (-) sign:-

[tex]\sf \longmapsto \dfrac{ \cancel - 12x}{ \cancel - 2} [/tex]

Then,cancel 12 and 2 by 2, 12 ÷ 2 results 6. (Don't cancel x):-

[tex]\sf \longmapsto \: \dfrac{ \cancel {12}x}{ \cancel{2}} [/tex]

[tex]\sf \longmapsto6x[/tex]

Option A

______________________________________

Henceforth the value of the algebraic expression is:

[tex]\boxed{\boxed{\displaystyle \huge 6x}}[/tex]

Option A is correct!

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

Q). The sum of four consecutive natural numbers is 166. What are the numbers? ​

Answers

Answer:

see that attachment

I hope it's help you

Let the four consecutive natural numbers are X,X+1,X+2,X+3

Their sum = X+X+1+X+2+X+3 = 4X+6

According to the given problem

Their sum = 166

⇛ 4X+6 = 166

⇛4X = 166-6

⇛4X = 160

⇛X = 160/4

∴ X = 40

X+1 = 40+1 = 41

X+2 = 40+2 = 42

X+3 = 40+3 = 43

The four consecutive natural numbers are 40,41,42,43

also read similar questions: The sum of two prime numbers is 85, what is the product of these two prime numbers? A. 85 B. 91 C. 115 D. 166

https://brainly.com/question/779569?referrer

Complete the sentences below based on the graph of the function.

Please help!

Answers

Answer:

20 km20 km/h5 km/h

Step-by-step explanation:

We assume the graph is a plot of Sean's distance from home as he drives to work, works 8 hours, then drives home with a 2-hour stop along the way. It also appears that t is measured in hours after midnight.

The graph shows Sean's distance from home between 9 a.m. and 5 p.m. (t=17) is 20 km. Based on our assumptions, ...

  Sean's workplace is located 20 km from his home.

__

Speed is the change in distance divided by the change in time. Between 8 a.m. and 9 a.m. Sean's position changes by 20 km. His speed is then ...

  (20 km)/(1 h) = 20 km/h

  Sean's speed driving to work was 20 km/h.

__

Between 5 p.m. (t=17) and 7 p.m. (t=19), Sean's position changes from 20 km to 10 km from home. That change took 2 hours, so his speed was ...

  (10 km)/(2 h) = 5 km/h

  Sean's speed between 5 p.m. and 7 p.m. was 5 km/h.

_____

Additional comment

The units of speed (kilometers per hour) tell you it is computed by dividing kilometers by hours. ("Per" in this context means "divided by".)

While the slope of the line on the graph between 5 p.m. and 7 p.m. is negative, the speed is positive. The negative sign means Sean's speed is not away from home, but is toward home. When the direction (toward, away) is included, the result is a vector called "velocity." Speed is just the magnitude of the velocity vector. It ignores direction.

3x+4=7-2x
Solve this equation for x with steps

Answers

Simplifying
3x + 4 = 7 + -2x

Reorder the terms:
4 + 3x = 7 + -2x

Solving
4 + 3x = 7 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
4 + 3x + 2x = 7 + -2x + 2x

Combine like terms: 3x + 2x = 5x
4 + 5x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 5x = 7 + 0
4 + 5x = 7

Add '-4' to each side of the equation.
4 + -4 + 5x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 7 + -4
5x = 7 + -4

Combine like terms: 7 + -4 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Answer: x = 0.6

If A = 2x – y + 3xy, B = x + 2xy and C = 3y + xy, find the value of A + B + C

Answers

[tex]A+B+C\\\\=(2x-y+3xy)+(x+2xy) +(3y+xy)\\\\=3x+2y+6xy[/tex]

The value of the expression A + B + C is equal to 3x - 2y + 4xy.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Are three expressions A = 2x - y + 3xy, B = x + 2xy and C = 3y + xy.

Now, A + B + C is equal to the sum of their values which is,

= (2x - y + 3xy) + (x + 2xy) + (3y + xy).

Now, we'll combine the like terms,

= 2x + x - y + 3y + 3xy + xy.

= 3x - 2y + 4xy.

So, The value of the expression A + B + C is equal to 3x - 2y + 4xy.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ6

A hiker travels 1.13 kilometers south, then travels 2.25 kilometers east. What’s the hiker’s displacement for the trip?

Answers

Answer:

Total displacement = 2.52 kilometers [south east][tex]a^2 + b^2 = c^2\\1.13^2 + 2.25^2 = c^2\\c^2 = 6.3394\\c = 2.52[/tex]

Step-by-step explanation:

By the Pythagorean Theorem:

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