Question

A line passes through the point (-1,2) and is perpendicular to y = (-1/2)x + 3. What is the slope of the line?

A. 2

B. -2

C. 1/2

D. -1/2

Answer 1

The slope of the line perpendicular to y = (-1/2)x + 3 is 2 (Option A).

Step-by-step explanation:

To find the slope of a line perpendicular to another line, we need to know that the slopes of perpendicular lines are negative reciprocals of each other. The given equation of the line is y = (-1/2)x + 3, which has a slope of -1/2. The line perpendicular to this line will have a slope that is the negative reciprocal of -1/2, which is 2/1 or 2. Therefore, the slope of the line is 2 (Option A).