Question

Find the point-slope equation for

the line that passes through the
points (9, -9) and (-2, 13). Use the first point in your equation.

Answer 1

Answer: y+9=-2(x-9)

Explanation:

The point-slope equation is
`y-y_(1) =m(x-x_(1) )`. All we have to do is fill in all the values except for y and x.

To find m, you use
`(y_(2)-y_(1) )/(x_(2) -x_(1) )`. Since we are given 2 points, we cna plug them in.

`(13-(-9))/(-2-9) =(22)/(-11) =-2`. Now that we have our slope m, we can fill in the point slope equation.

`y-(-9)=-2(x-9)`

`y+9=-2(x-9)`