Question

Find the point-slope equation for

Answer 1

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

Step-by-step 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 $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$. Since we are given 2 points, we cna plug them in.

$\frac{13-(-9)}{-2-9} =\frac{22}{-11} =-2$. Now that we have our slope m, we can fill in the point slope equation.

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

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