Question

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

Answer 1

`y=6x-10`

Explanation:

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

`m=(y2-y1)/(x2-x1)=(-22-8)/(-2-3)=(-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!