determine the slope of the line that passes through each pair of points. (-2,1) and (0,-2)

Answers

Answer 1

Answer:

slope = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (0, - 2)

m = [tex]\frac{-2-1}{0+2}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]


Related Questions

I’m confused?????????

Answers

Answer:

The equation of the line is y - 3 = 2.5(x - 2) ⇒ D

Step-by-step explanation:

The rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

The point-slope form of a line is y - y1 = m(x - x1), where

(x1, y1) is a point on the line

From the given figure

∵ The line passes through points (2, 3) and (0, -2)

∴ x1 = 2 and y1 = 3

∴ x2 = 0 and y2 = -2

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{-2-3}{0-2}=\frac{-5}{-2}=2.5[/tex]

m = 2.5

→ Substitute the values of m, x1, y1 in the form of the equation above

∵ m = 2.5, x1 = 2, y1 = 3

y - 3 = 2.5(x - 2)

The equation of the line is y - 3 = 2.5(x - 2)

5x - 2y = -26
-7x + 4y = 40
Show your work?​

Answers

Answer:

x = -4, y = 3

Step-by-step explanation:

In one equation (let's use the top one), solve for one of the variables (let's solve for y first).

5x - 2y = - 26 --> -2y = -5x - 26 --> y = (5/2)x + 13

Now, substitute ((5/2)x + 13) in for y in the second equation.

-7x + 4((5/2)x + 13) = 40 --> -7x + 10x + 52= 40 --> 3x = -12 --> x = -4

Then, subtitute that in to one of the equations.

5(-4) - 2y = -26 --> -20 - 2y = -26 --> -2y = -6 --> y = 3

Please tell me how to do this geometry problem

Answers

Answer:

See attachment

Step-by-step explanation:

The angles are congruent which means that the triangles are congruent.

WXY ~~ WZY

How to solve 25= 4+ 7x

Answers

Answer: x =3

Step-by-step explanation:

The product of 2 and y is at least 10. solving inequalities

Answers

2•y>10
The “>” has a line underneath it

Answer:

2y>10

y>5 is your answer

Put these amounts of money in order smallest to largest
£1.32 £1.23 £1.03 £3.21 £3.12

Answers

Answer:

£1.03, £1.23, £1.32, £3.12, £3.21

Step-by-step explanation:

Let a(x) be the amount of money remaining on Hillary's gift card after purchasing x apps on her phone.



Since a(12) = (38, 15,35, 65) Hillary will have
(35,15,38,12) dollars remaining on her card after purchasing
(12,15,35,38) apps.

Answers

Answer:

she purchased 12 apps costs 12 *1.25 = 15 . So , she spent 15 ... Since a(12) = 35, Hillary will have 35 dollars remaining on her card after purchasing 12 apps.

Step-by-step explanation:

hopefully this helps

Answer:

35, 35, & 12.

Step-by-step explanation:

i did the test and i got it right :D

A circle has a radius 30 cm. What is the area? Show your
work.

Answers

Answer:

I believe the area = 2,826

Step-by-step explanation:

A=pie×radius²

A= 3.14×30²

A=3.14×900

A=2,826

PLEASE HELP! ILL GIVE YOU BRAINLIEST!

Answers

Answer:

A.

Step-by-step explanation:

It is the final step when doing math like that.

Please help me before I fail... I really need some help

Answers

Answer:

sin 61 degrees = x/55

55 * sin 61 degrees = x

x is approximately 48.1 if I did the math right

Step-by-step explanation:

hope it helps! gl

x+2y-z = 9
-2x+y+z= 1
2x-y+2z= -5

Answers

Answer:

I don't understand the first one

Which is greater than 4: (a) 5 or (b) 5?

Answers

Answer:

I think C. is correct

Step-by-step explanation:

Just trust me, I'm smart ;)

Answer:

they both are the same number

Step-by-step explanation:

Solve for x.
Answer Choices:
7

8

9

-11

Answers

Answer:

x = -11

Step-by-step explanation:

Well the two equations add up to 180 because they are a linear pair.

x + 56 + x + 146 = 180 (collect like terms)

2x + 202 = 180 (subtract 202 on both sides)

2x = -22 (divide by 2 on both sides)

x = -11

Hope this helps ya!!

X+56+x+146=180 (Because they are linear pair and are equal to 180 degrees)

(Combine like terms)

2x+202=180 (Subtract 202 to both sides because we want the x isolated)

2x+202=180
-202 -202
2x=-22 (Divide)
2 2
X=-11
Hope this helps :D

help me with question 3 for brainliest

Answers

Answer:

1. y>2x+1

2. The dots and the marked zone over the line indicates that it is a ">"

need help with another HW assignment.

Answers

If a=b then a-c=b-c a - c = b - c for any liner equations

The steps in solving 5b - 6 = 24 are:

Answers

Answer:

5

Step-by-step explanation:

5

5b-6=24
+6 +6
5b=30
\5 /5
B=6
I hope this helps! Comment if you need a better explaination

SINE COSINE TANGENT If someone who acctually understand this could help me por favor :)

Answers

Answer:

here it is, hope it helps

Answer:

Step-by-step explanation:

sin M = [tex]\frac{3\sqrt{11} }{18} = \frac{\sqrt{11} }{6}[/tex]

cos M = [tex]\frac{15}{18} = \frac{5}{6}[/tex]

tan M = [tex]\frac{3\sqrt{11} }{15} = \frac{\sqrt{11} }{5}[/tex]

ABCD is a rhombus. Solve for x, if m AFB
(16x + 6)
B
F
D
C

Answers

2(8x+3) all you need to do is apply

A recipe for cookies calls for 1 cup of butter, twice as much sugar as butter, and three times as much flour as sugar. How many cups of flour will you need if you halve the recipe?

Answers

Answer : 3 cups

Explanation: if the sugar is as twice as much as butter we need 2 cups of sugar if flour is 3 times as much as sugar we’ll need 6 cups half of 6 is 3

Tommy bought stamps at the post office. Some of the stamps had a snowflake design, some had a truck design, and some had a rose design. Tommy bought 14 snowflake stamps. He bought 5 more truck stamps than snowflake stamps, and 5 fewer rose stamps than truck stamps. How many stamps did Tommy buy in all? Show your work, how you came up with the answer.

Answers

Answer:

47

Step-by-step explanation:

s = Number of stamps with snowflake design = 14

Number of stamps with truck design is 5 more than snowflake design

[tex]t=s+5\\\Rightarrow t=14+5\\\Rightarrow t=19\ \text{stamps}[/tex]

Number of stamps with rose design is 5 fewer than truck stamps

[tex]r=t-5\\\Rightarrow r=19-5\\\Rightarrow t=14\ \text{stamps}[/tex]

Total number of stamps

[tex]s+t+r=14+19+14\\ =47[/tex]

So total number of stamps Tommy bought is 47.

A news report says that 9% of middle school students are on the track team. There are 600 students in your middle school How many students in your school would you expect to be on the track team? HE Pad SATTE BAR HG West nus SAUNA w 1​

Answers

Answer: 54

9% of 600 would be 54.

The land John owns covers an area of 2.17 x 104 square miles. The land Sam owns covers an area of 5.34 x 103 square miles. About how many times greater is the area owned by John than the area owned by Sam?

Answers

Answer:4.064 times

Step-by-step explanation:

Step 1

Area  of  Land owned by John =2.17 x 104 square miles

Area  of  Land owned by Sam= 5.34 x 103 square miles.

When we say about how many times is a quantity greeter than the other we mean that  how much is the smaller quantity contained in the larger quantity. and in such cases, we divide.

Area  of  Land owned by John/Area  of  Land owned by Sam

=2.17 x 104 square miles/ 5.34 x 103 square miles

=21,700 square miles /5,340 square miles

=4.064 times

Therefore  we say that John's owns an area of land  by 4.064 times Sam's land.

Marsha recorded the time it took seven children of different ages to run one lap around the track.
Using the line of best fit, which is closest to the length of time it should take Marsha's 6 year old niece to
run one lap?
A. 190
B. 200
C. 205
D. 210

Answers

The answer is C. 205.
Answer: C

Reasoning: There is a 40s difference between the age of 4 and 8 meaning 6 most likely would be in the center of that, which also means it’d be about half of 40. So with that we subtract 20 from 225 and thus giving us the closest length of time it should take Marsha’s 6 year old niece to run one lap, 205s.

3x-2(x+5)=14 then x

Answers

3x-2 (x+5) =14
3x -2x -10 = 14
x -10 =14
10. 10. add 10 to both sides
x = 24
:)

Answer:

x = 24

Step-by-step explanation:

3x-2(x-5)=14

remove the parentheses using distributive property

3x-2x-10=14

collect like terms

x-10=14

move constant to the right side and change the sign

x=14+10

calculate ( add the numbers together)

x = 24

A right triangle with a base equal to 24 in and height equal to 18 in.

Answers

Answer: A= 216

Step-by-step explanation:

Yul has lunch at a restaurant. If his bill was $14.50 and Yul wants to leave a 20% tip, what is the amount he should leave for the tip? What is the total amount for his meal plus tip?

Answers

Answer:

Yul has lunch at a restaurant. If his bill was $14.50 and Yul wants to leave a 20% tip, what is the amount he should leave for the tip?

 

Yul should leave 20% tip of

 

14.50 * 0.20 = 2.9

Please help it’s due in an hour! It’s algebra.

Answers

Answer:

You might wanna double check some of these because i might've forgot to flip some of the < and > signs but I'm pretty sure its correct

1) y = x < -18 and y = x < 18

2) y  = -3 < x < 3

3) x = 1 < y < 6 (it just gets simplified)

4) x = -3 > y > -18

5) y = -2 > x  and y = x < 3.5

6) y = 8.5 > x > 5.5

7) y = -5.75 < x < -3.5

8) y = 1 > x > 2.25

9) -17 < x < -5

Step-by-step explanation:

Add. 2/3 + 1/4 ...............................

Answers

Answer:

11/12

Step-by-step explanation:

2/3+1/4

8/12+3/12= 11/12

Which function has a graph with a y-intercept of -4?
A. 2x – 4y = 8
B. 2x – 8y = -4
C. 4x – 2y = -8
D. 4x - 2y = 8

Answers

the correct answer would be D. if you rearrange the equation, and cross out common factors, it equals -4

Answer:

D

slope is 2 and y-intercept is (0, -4)

Step-by-step explanation:

4x-2y= 8  move variable x to the right (change signs)

- 2y= -8 + 4x   Divide both sides by 2

y= -4 + 2x        reorder terms using communitive property

y = 2x  -4

y= mx + b

In a certain Algebra 2 class of 28 students, 7 of them play basketball and 5 of them
play baseball. There are 18 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?

Answers

i think it 5:28 since there are only 5 that play both
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For Part A, use a piece of paper. For parts B-D, use the text box below.A. Plot the data on a piece of paper. (make sure you label your axes and put a title). Draw a line of best fit. B. Write an equation for the line of best fit. C. What income would a person have if he attended school for 2 years? Explain how you got the answer. D. How many years would you need to attend college in order to have an income of at least $50,000? Simplify to create an equivalent expression.3(2+6d)-5=3(2+6d)5=?can someone tell me how i solve this i will give brainliest to the best answer Four people each have a different willingness to pay for one unit of a good: George will pay $15, Glen will pay $12, Tom will pay $10, and Peter will pay $8. If price decreases from $9 to $8 then the consumer surplus from this unit will increase by___. The consumer surplus is calculated as the marginal benefit or the value of the good minus its price, then summed over the quantity bought. If the price is $9, there are only 3 people (George, Glen, and Tom) who would buy the goods. Since Peter wants to pay $8, he will not buy this good since its price ($9) is higher than his willingness to pay. The consumer surpluses for George, Glen, and Tom are $6 (=15 - 9), $3 (=12 - 9), and $1 (=10 - 9), respectively. The total consumer surplus would be $10 (= 6 + 3 + 1). If the price is $8, all of them would be willing to buy the goods. The consumer surpluses for George, Glen, Tom, and Peter are $7 (=15 - 8) $4 (=12 - 8), $2 (=10 - 8), and $0 (=8 - 8), respectively. The total consumer surplus would be $13 (= 7 + 4 + 2). Thus, if price decreases from $9 to $8 then the consumer surplus from this unit will increase by $3. If the price increases from $9 to $11, what would be the decrease in consumer surplus? Why does my girlfriend blush when I tell her I love her Identify the type of plate boundary shown in this picture. Explain how this type of boundary provides evidence that Earth's magnetic poles have reversed. Please answer this question :) Why do vegetables often need to be separated when roasting?-They cook at different speeds.-They require different temperatures.-Cucumbers must be roasted separately.-To keep the flavors from blending together. Based on context clues, what does impartial mean in the following sentence "Journalists can cover anything they choose and from any view point, whether impartial or intentionally based." Hi, Can you help me with the area and perimeter? A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2601 with a mean life of 1191 minutes. If the claim is true, in a sample of 167 batteries, what is the probability that the mean battery life would differ from the population mean by less than 3.5 minutes? Read the excerpt from "Civil Peace" by Chinua Achebe. "OK. Time de go. Make you open dis window and bring the twenty pound. We go manage am like dat." Which statement best summarizes the message conveyed in this dialect? "Time for you to leave. Make this window open up or give me the money. We will manage it after." "Its time to go. Open up the window and throw the money out. We will spend it all later." "Time to go. Open this window and put the money outside. We will spend it all later." "Its time to go. Open this window and bring the money or else. Were done playing around." a=3b+4c-a is this a litteral equation Mr. K cooked down 2 pumpkins yesterday. He did this to make pumpkin pies for Thanksgiving. He was able get 30.5 cups of pumpkin. If Mr. K needs 1 Cups of pumpkin to make 1 pie, how many pies can he make with the pumpkin he cooked down last night? double work pleaseeee helpp meeee What is the electric force between two point charges when 91 = -4e, 92 = +3 e,and r= 0.05 m?e = 1.6 x 10-1C, k = 9.00 x 10Nom/C2)KouchA. -1.1 * 10-24 NB. 1.1 * 10-24 NC. 5,5 x 10-25 ND. -5.5 x 10-25 N Can y'all help me? I am not good at science lol. 20 POINTS!!!!!!!!!!!! AND BRAINLIEST!!!!!!!!!!!!!Imagine life in Canada. Write a journal entry from the point of view of a sled dog. write at least 10 sentences. Which inference about Gatewood's training can logically be drawn from the passage? O A She received advice from her son. B. She gradually raised her level of activity. C. She took a job that required a commute. o D. She used her own money to buy hiking guides. I live in the _____ District of North Carolina (Concord) A. eastern B. middle C. western When Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75. When Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120. Find the hourly rate of pay for Ben and Judy. PLEASEEEEE HELPPPPPP ASAPPPPPPPP