Question

Write an equation in a slope-intercept form for the line described.

1. Slope -2, passes through (-4,6)


2. Slope 1, passes through (2,5)

Answer 1

The slope-intercept form: y = mx + b

1. m = -2 → y = -2x + b

(-4, 6) → x = -4, y = 6, substitute:

6 = -2(-4) + b

6 = 8 + b |-8

b = -2

Answer: y = -2x - 2

2. m = 1 → y = 1x + b

(2, 5) → x = 2, y = 5, substitute:

5 = 1(2) + b |-2

b = 3

Answer: y = x + 3

Answer 2

`image`