Question

Which equation represents a line that is perpendicular to line FG?

a) y = -1/2x + 5
b) y = 1/2x + 2
c) y = -2x - 3
d) y = 2x - 6

Answer 1

The equation that represents a line perpendicular to line FG is y = -1/2x + 5.

Step-by-step explanation:

The question is related to perpendicular lines.

The equation that represents a line perpendicular to line FG is y = -1/2x + 5.

To determine if a line is perpendicular to another, we need to check if their slopes are negative reciprocals of each other. The given equation has a slope of -1/2. The negative reciprocal of -1/2 is +2/1, which means that a line with a slope of 2 would be perpendicular to line FG.