Answer: y+9=-2(x-9)
Step-by-step explanation:
The point-slope equation is [tex]y-y_{1} =m(x-x_{1} )[/tex]. All we have to do is fill in all the values except for y and x.
To find m, you use [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]. Since we are given 2 points, we cna plug them in.
[tex]\frac{13-(-9)}{-2-9} =\frac{22}{-11} =-2[/tex]. Now that we have our slope m, we can fill in the point slope equation.
[tex]y-(-9)=-2(x-9)[/tex]
[tex]y+9=-2(x-9)[/tex]
