Answer:
y = -6, perpendicular
Step-by-step explanation:
You can use the points to find the slope of the line:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{-6-(-6)}{-7-4} =\frac{-6+6}{-7-4}=\frac{0}{-11}=0[/tex]
Then, using point-slope form, choose one set of coordinates to use for y1 and x1:
[tex]y-y_{1}=m(x-x_{1})[/tex]
[tex]y-(-6)=0(x-4)[/tex]
[tex]y+6=0[/tex]
[tex]y=-6[/tex]
Since the slope of the line is zero, it's a horizontal line. The y-axis is a vertical line, which means that the line is perpendicular to the y-axis.
