Write the slope-intercept form of the equation for the line.

y = (- 7/8)*x - 1.5

Step-by-step explanation:

One point is (-4,2) and the other one is (4,-5)

The first step is to find the slope.

m = (y2 - y1) / (x2 - x1)

Solution

Find the slope

m = (2 - - 5) / (-4 - 4)

m = (2 + 5) / (- 8)

m = 7 / - 8

So far what you have is y = (-7/8)x + b

Find the y intercept.

Use (4,-5)

y = (-7/8)x + b

x = 4

y = - 5

-5 = (-7/8) * 4 + b

-5 = -7/2 + b

-5 = - 3.5 + b                    Add 3.5 to both sides.

-5 + 3.5= - 3.5+ 3.5 + b

- 1.5 = b

If you have answers  please list them

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 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.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .