Consider the line y x 5 What is the slope of a line parall

Consider the line y = x + 5. What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line? Slope of a parallel line: slope of a perpendicular line:

Solution

Parallel lines have the same slope and will never intersect.

So, slope of parallel line is same = 1

If two line segments are perpendicular, their slopes are negative reciprocals.

So, m1 * m2 = -1

m2 = -1

So, perpendicular line slope is -1