Question

What is the equation in point-slope form for a line that passes through the points (-6,38) and (2,-22)

Answer 1

`y-38=-(15)/(2)(x+6)`

Explanation:

First, find the slope using the formula to find slope:
`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

`(-6,38) (2, -22)\\\\m=(-22-38)/(2-(-6))\\\\=(-22-38)/(2-+6)\\\\=(-60)/(8)\\\\=-(15)/(2)`

Now, plug in one of the given points and the slope into the point slope formula:
`y-y_(1)=m(x-x_(1))`

`y-38=-(15)/(2)(x+6)`