Write the equation of line , in slope-intercept form, given the points A(0, 4) and B(-4, -8). In your final answer, include all of your calculations.

y=3x + 4

Step-by-step explanation:

Slope intercept form: y=mx+b

M is the slope, and b is the y-intercept.

(0,4) (-4,-8)

(X2, y2) (x1, y1)

M= Y2-y1

X2-x1

M = 4 - (-8)

0 - (-4)

M = 4+8

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0+4

M = 12

___

4

Slope: 3.

Y-intercept : 4.

y=3x+4

what is the answer?

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 .