Question

Write an equation of the line, in point-slope form, that passes through the two given points. points: (-3,18). (12,-12)​

Answer 1

y = -2x + 12

Explanation:

First, find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-12 - 18) / (12 + 3)

-30 / 15

= -2

Then, plug this and a point into y = mx + b and solve for b:

y = mx + b

-12 = -2(12) + b

-12 = -24 + b

12 = b

Then, plug in the slope and b into y = mx + b

y = -2x + 12 is the equation of the line