Question

What is the equation of a line perpendicular to -x + 2 = 0 that intersects the line at (-1.5, 3.5)?

A) y = x + 5
B) y = -x - 1
C) y = x - 1
D) y = -x + 5

Answer 1

The equation of the line perpendicular to -x + 2 = 0 that intersects the line at (-1.5, 3.5) is x = -1.5.

Step-by-step explanation:

To find the equation of a line perpendicular to the given line -x + 2 = 0, we first need to determine the slope of the given line. The equation -x + 2 = 0 can be rewritten as x = 2, which means the slope is 0. A line perpendicular to a line with slope 0 will have an undefined slope. Since it passes through the point (-1.5, 3.5), we can write the equation in the form x = -1.5. Therefore, the equation of the line perpendicular to -x + 2 = 0 that intersects the line at (-1.5, 3.5) is x = -1.5.