Question

The slope of line l is greater than 0 and less than 1. Write an inequality for the slope of the line perpendicular to l.

a. 0 < m < 1
b. -1 < m < 0
c. m > 0
d. m < -1

Answer 1

The inequality for the slope of the line perpendicular to a line with a slope greater than 0 and less than 1 is m < -1.

Step-by-step explanation:

The slope of a line perpendicular to line l is the negative reciprocal of the slope of line l. Since the slope of line l is greater than 0 and less than 1, the slope of the perpendicular line must be less than -1. Therefore, the inequality for the slope of the line perpendicular to l is m < -1.