Q
ZOO
What is the equation in slope-intercept form of the line that passes through the points
(-6, 4) and (6, 10)?

Answers

Answer 1

Answer:

[tex]y = \frac{1}{2} x+7[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

Given points: (-6, 4), (6, 10)

(-6, 4) = (x1, y1)

(6, 10) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

[tex]\frac{10-4}{6-(-6)}[/tex]

Simplify:

10 - 4 = 6

6 - (-6) = 6 + 6 = 12

[tex]\frac{6}{12}=\frac{1}{2}[/tex]

The slope is [tex]\frac{1}{2}[/tex].

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:

[tex]10 = \frac{1}{2}(6)+b[/tex]

10 = 3 + b

7 = b

The y-intercept is 7.

Now that we know the slope and the y-intercept, we can write the equation:

[tex]y = \frac{1}{2} x+7[/tex]


Related Questions

Divine reduce the answer to lowest terms 4/5÷16/15

Answers

Answer:

.75 or 3/4

Step-by-step explanation:

4 A bricklayer lays 1500 bricks in an 8-hour day. Assuming he continues to
work at the same rate, calculate:
a how many bricks he would expect to lay in a five-day week
b how long to the nearest hour it would take him to lay 10000 bricks.

Answers

Answer:

answer of a is 7500and the answer of b is53 hours

A -7500 B-53hours
Explanation:

Complete the square. Fill in the number that makes the polynomial a perfect-square
quadratic.

Answers

Answer:

(g-3)(g+3)

Step-by-step explanation:

this is a difference of squares equation so you have to find two numbers that multiply to make c (-6) and add together to make b (0)

-3 and 3 add together to make 0 and multiply to make -6

round 0.05 to the nearest tenth as a percentage and it's not 5​

Answers

Answer: 0.1

Explanation: If the last digit in the fractional part of 0.05 is 5 or more and the first digit in the fractional part is less than 9, then add 1 to the first digit of the fractional part and remove the second digit.

3. Gavin deposited $200 into his savings account that is compounded semi-annually at an interest rate of 9%. Gavin hoped he would have enough money in 8 years to buy a $400 gaming console for college. Is Gavin correct? Write and solve an equation, showing your work to justify your answer.

I just need the equation.

Answers

His answer was correct:

(200*0.09)=18

18*16=288

200+288=488

Answer:

Was it right?? Im doing this problem rn

Step-by-step explanation:

2p-7
make p the subject​

Answers

Answer:

making letters subject is only possible

with equations but not expression.

So the question has no solution.

Is this graph a function or not a function

Answers

Answer:

In the graph of a circle, we can easily draw a straight vertical line passing through its center. This will hit the top and the bottom of the shape. Since this line hits two points, a circle's graph is not a function. We can also observe the equation of a circle.

Answer:

No

Step-by-step explanation:

Do a vertical line test.

First, put your pencil or ruler up against the screen.

Move it down the graph and if there are two points in one x point, it is not a function. For example, look at 0, 3 and 0, -2.5. They share the same x point.

Therefore, it is not a function.

Is the ratio 4.2:1.5 proportional to the ratio12.6:4.5? Explain.

Answers

Answer:

No

Step-by-step explanation:

All the numbers have to be multiplied by the same amount for it to be proportional

A proportional amount to 4:2:1:5 would be 12:6:3:15

They have all been multiplied by the same number 3

Answer:

Yes, the ratio is proportional

Step-by-step explanation:

given 4.2 : 1.5 =? 12.6 : 4.5 is it proportional

it must follow the means extremes property

[tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex]

a*d = b*c, so let's plug in the values

[tex]\frac{4.2}{1.5}[/tex] =? [tex]\frac{12.4}{4.5}[/tex]

(4.2)*(4.5) =? (1.5)*(12.6)

18.9 = 18.9 which is true; therefore the ratio is proportional

8) Find the are of the rregular shape.
3 ft.
3 ft.
6 ft.
9 ft.
6 ft.
9 ft.

Answers

Answer:

63 ft squared

Step-by-step explanation:

3x3=9 for top square

9*6=54 for bottom one

54+9=63

I think it’s 63 you break it up and get 9x3 and 6x6 and add your answers together hopefully this helps

Find each numbered angle measure:

Answers

Answer:

m∠1=77°

m∠2=36°

m∠3=30°

Step-by-step explanation:

First, find angle 1 by adding 66 and 37 and subtracting them from 180 because there are 180 degrees in an angle.

180-(66+37)=77°

You can then find angle 2 by finding the other angle not given. You can find this angle by subtracting 77 from 180, giving you 103. To find angle 2, add 103 and 41 and subtract them from 180.

180-(103+41)=36°

You can then find angle 3 by adding the angle 103 and the angle 47, and subtracting them from 180

180-(103+47)=30°

A turtle is 20 5/6 inches below the surface of a pond. It dives to the depth of 32 1/4 inches. What is the change in the turtle's position? Group of answer choices
(i know the answer i just need to know if its negitive or postive )

Answers

Answer:

negative

Step-by-step explanation:

I'm pretty sure its negative because the turtle is going under!

Answer:

- 11 1/4 in

Step-by-step explanation:

Initial position: - 20 5/6 inFinal position:  - 32 1/4 in

Change in position:

- 32 1/4 - (-20 5/6) = - 32 1/4 + 20 5/6 = - (11 + 5/4 - 5/6) =- (11 + 15/12 - 10/12) =- 11 3/12 = - 11 1/4 in

Find the measure of ∠DBF (HURRY ASAP)

Answers

Answer:

This graph is kind of funky, but it should be 70

Step-by-step explanation:

23+47=70

Please mark Brainliest!!!

Answer:

70

Step-by-step explanation:

1. What is 150% of $60?*
O $75
O $100
O $88
O $90

Answers

Answer:

The answer is $90.

Step-by-step explanation:

150%×60

150/100×60

3/2×60

3×30

=90

Hope this helps and if you could mark this as brainliest. Thanks!

-21 = 2 - n/3 SHOW ALL WORK

Answers

Answer:Combine multiplied terms into a single fraction

2

1

=

2

1

3

-21=2-1 \cdot \frac{n}{3}

−21=2−1⋅3n​

2

1

=

2

+

Step-by-step explanation:

See attachment for math work and answer.

plz help me ;-;,i really need some help

Answers

Answer:

The building is taller than 12ft is b>12

The box contains more than 11 books is b>11

Answer:

b<11 is The board is shorter than 11 cm

b>11 is The box contains more than 11 books

b<12 is There are fewer than 12 beetles in a jar

b>12 is The building is taller than 12 ft.

Step-by-step explanation:

It takes Asher 12 minutes to ride a roller coaster four times. Write an equation to represent a proportional relationship between the number of rides in total amount of time

Answers

Answer:

4x=12

Step-by-step explanation:

What is y in this situation?

Answers

Answer: y would be -5

Step-by-step explanation:

PLEASE HELP I'LL GIVE BRAINLIEST

Answers

Answer:a

Step-by-step explanation:

You don’t pay attention in class do you it’s A

#1 - Write a conditional statement for this Venn diagram (pic attached)
A. Red is a color
B. If it is red, then is is a color.
C.It is red, if and only if it is a color.
D.If it is a color, it is red.

Answers

Answer:

it might be A im a little confused but try A

Helpppp pleaseeee. this question is confusing, please help

Answers

Answer:

Graph A, since in order to have it proportional, the graph has to be a straight line, or in math terms, linear.

can you give brainliest

Answer:

The first one

Step-by-step explanation:

If the dots lead in a straight line starting from the axis the relationship is proportional

Ashley calculates her salary (vase and commission) for the year y using a model y = 0.2x + 25,000; where x represents her total sales for the year. What is the meaning of the y-intercept in the model
A) the y-intercept represents Ashleys base play
B) the y intercepts represents Ashleys commission pay
C) the y-intercept represents asleys total sales for the year
D) the y-intercept reperesents the highest salary Ashley can earn
im really struggling with this one

Answers

Answer:

A)

Step-by-step explanation:

The y-intercept represents Ashleys base play

Best,

SunflowerJada

Draw the triangle with the given vertices. Multiply each coordinate of the vertices by 3, and then draw the new triangle.
(-3,2), (1, 2), (1,-4)

Answers

(-9,18) (3,6) (3,-12) should be the new coordinates

Answer:

(-9,6), (3,6), (3,-12) The dilation is an enlargement.

Step-by-step explanation:

-3x3=-9

2x3=6

1x3=3

2x3=6

1x3=3

-4x3=-12

4 (t – 1) for t = 7
PLZ HELP ASAP

Answers

4(t-1)

4(7-1)

4(6)

=24

The answer is 24.

Answer:

24

Step-by-step explanation:

Plug in the value of t: 4(7 - 1)We can solve this two ways: one way is doing the distributed property, the other is PEMDAS. For now, let's use the distributed property (the other person who answered used PEMDAS)4 × 7 = 284 × 1 = 4Put them together: 28 - 428 - 4 = 24

I hope this helps!

!!!HELP ME WITH THIS QUESTION PLEASE!!!

Answers

9514 1404 393

Answer:

  A.  {1, 7, 11}

Step-by-step explanation:

The constant in the equation is 1, so that is the value when x=0. No answer choice can be correct unless it includes the value 1. The only viable choice is A.

_____

If you want to go to the trouble to evaluate the expression for the different values of x, you can. It often works well to rewrite the expression to "Horner form":

  (2x -1)x +1

For x = -2, this is (2(-2) -1)(-2) +1 = (-5)(-2) +1 = 11

For x = 0, this is 1

For x = 2, this is (2(2) -1)(2) +1 = (3)(2) +1 = 7

So, the range for the given domain is {1, 7, 11} . . . . . matches choice A

PLZZZZZ HELP ME I WILL GIVE BRAINLY

Answers

Step-by-step explanation:

8x + y = -16

y = -8x - 16 --(1)

-3x + y = -5 --(2)

sub (1) into (2):

-3x - 8x - 16 = -5

-11x = 11

x = -1

sub x = -1 into (1):

y = -8(-1) - 16

y = -8

therefore, the solution is (-1, -8).

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Math Problem, Please Help! please please please

Answers

Answer: The width is 8 inches

Step-by-step explanation:

Trust me lol also 8 gose into both 96 and 12

Perfect Purple Paint is made by mixing 3 cups blue paint to 5 cups red paint How many cups of blue paint would be needed if you have 25 cups of red paint to
make Perfect Purple Paint?

Answers

23 cups of blue paint
Brainliest please I’m tryna rank up

What is the equation of the line that passes through the point (8,-4) and has a slope of 1/2

Answers

y+4=1/2(x-8) pls can i have brainliest luv u

The equation of the line that passes through the point (8,-4) and has a slope of 1/2 is; y = -x/2 - 2

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

This is the required equation of a line in a point-slope form.

We know that Point-Slope Form:

y - y₁ = m(x- x₁)  

Where x₁ - x coordinate and y₁ - y coordinate

m - slope

Point (8,-4)

Then Slope m = 1/2

Now the equation as;

y + 4 = 1/2(x - 8)

 y  = -1/2(x -4) - 4

y = -x/2 + 2 - 4

y = -x/2 - 2

Hence, the equation of the line that passes through the point (8,-4) and has a slope of 1/2 is; y = -x/2 - 2

Learn more about equations here;

brainly.com/question/25180086

#SPJ2

PLEASEEEEEE HELP!!

Rachel has $5 in her savings account.
Option 1 will add $35 to her account each week.

Option 2 will double the amount of money in her account at the end of each week.
PART A:
Write a function in terms of x to model each option of saving.

Answers

Answer:

ya 5x is the right anwser

Lol i need help it’s 1am and i don’t get this it’s due tmr please help lol

Answers

Answer:

which question do you need help with?

Step-by-step explanation:

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