Question

For the graph y = -8 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your answer with two or more sentences.

Answer 1

For the graph of y = -8 the line is horizontal, which means the slope = 0. A parallel line has the same slope so one equation could be y = 2. A perpendicular line has an opposite slope so since our slope = 0 the opposite of that slope is $-\frac{1}{0}$ which a line that is perpendicular to y = -8 could be x = -3. Also notice that these two lines form a 90 degree angle.