Question

Write an equation of the line passing through points (3,8) and (-2,-22)

Answer 1

Answer:

$y=6x-10$

Step-by-step explanation:

First, we can find the slope using the two given points.

$m=\frac{y2-y1}{x2-x1}=\frac{-22-8}{-2-3}=\frac{-30}{-5}=6$

Then, we can use the slope we just found and one of the given points to find the y-intercept.

$y=mx+b\\y=6x+b\\8=6(3)+b\\8=18+b\\b=-10$

And we can put our equation together.

$y=6x-10$

Hope this helps!