Question

question 4
eddie wanted to clarify his understanding of the differences between parallel and perpendicular lines on a graph. which statement is the correct interpretation of the differences between parallel and perpendicular lines?
the slopes of parallel lines are negative reciprocals of each other, and the slopes of perpendicular lines are the same.
parallel lines have a slope that is undefined, which makes them vertical lines, and perpendicular lines have a slope of zero, which makes them horizontal lines.
parallel lines have the same slope; however, the slopes of perpendicular lines are negative reciprocals of each other.
parallel lines have the same slope, but perpendicular lines have the same slope except one is positive and one is negative.

Explanation:

Parallel lines never intersect and have equal slopes. Perpendicular lines intersect at a 90 - degree angle and their slopes are negative reciprocals of each other. For example, if the slope of one line is $m$, the slope of a line perpendicular to it is $-\frac{1}{m}$.

Answer:

C. Parallel lines have the same slope; however, the slopes of perpendicular lines are negative reciprocals of each other.