Answer: y = 3
Step-by-step explanation:
Two lines are said to be parallel if they have the same slope. All we need to do is to find the slope of each line . The formula for finding slope is given as :
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
For the first line
[tex]x_{1}[/tex] = 11
[tex]x_{2}[/tex] = 2
[tex]y_{1}[/tex] = y
[tex]y_{2}[/tex] = 0
substituting into the formula , we have
m = [tex]\frac{0 - y}{2 - 11}[/tex]
m = [tex]\frac{-y}{-9}[/tex]
m = [tex]\frac{y}{9}[/tex]
Also Finding the slope of the second line we have
[tex]m_{2}[/tex] = [tex]\frac{2-5}{-2 - 7}[/tex]
[tex]m_{2}[/tex] = [tex]\frac{-3}{-9}[/tex]
[tex]m_{2}[/tex] = [tex]\frac{1}{3}[/tex]
Since the two lines are parallel , we will equate their slope , that is
[tex]\frac{y}{9}[/tex] = [tex]\frac{1}{3}[/tex]
3y = 9
y = 3
