Answer: y = 9
Step-by-step explanation:
Since two points are given , we will use the formula for finding the equation in two points form , which is
[tex]\frac{y -y_{1}}{x -x_{1}}[/tex] = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]x_{1}[/tex] = 1
[tex]x_{2}[/tex] = -3
[tex]y_{1}[/tex] = -9
[tex]y_{2}[/tex] = -9
Substituting into the formula , we have
[tex]\frac{y-(-9)}{x - 1}[/tex] = [tex]\frac{-9-(-9)}{-3-1}[/tex]
[tex]\frac{y+9}{x - 1}[/tex] = [tex]\frac{-9+9}{-3-1}[/tex]
[tex]\frac{y+9}{x - 1}[/tex] = [tex]\frac{0}{-4}[/tex]
[tex]\frac{y+9}{x - 1}[/tex] = 0
y + 9 = 0
y = 9
