a) x = -7 b) y = -2
Work Step by Step
a) For the lines to be parallel, they must have the same slope, and x = 1 has an undefined slope. So the only line that passes through the point (-7, -2) and has an undefined slope is a vertical line. That is the line x = -7. b) In order for the line to be perpendicular to x = 1, which is a vertical line, it must be horizontal with the slope = 0. So by plugging in the point (-7,-2) and m = 0 into point slope form of an equation, we get y - (-2) = 0(x-(-2)). By simplifying, we get y = -2.