Question

Write an equation in slope-intercept form for a line that passes through the two points (-2,-5) and (-4,3). Show your work.

Answer 1

y = -4x - 13

Explanation:

Use point - slope form to convert to y = mx + b form

1. Find the slope using y2 - y1 / x2 - x1

3 + 5 / -4 + 2

m = -4

2. Plug into point - slope form: y - y1 = m (x - x1)

y + 5 = -4 (x + 2)

Distribute

y + 5 = -4x - 8

Subtract 5 from both sides

y = -4x - 13