Question

Write the equation of a line that is perpendicular to (y = -1) and that passes through the point (8, -4).

A. (x = 8)

B. (y = -4)

C. (x + y = 4)

D. (x - y = 12)

Answer 1

The equation of a line perpendicular to y = -1 and passing through the point (8, -4) is x = 8.

Step-by-step explanation:

To find a line that is perpendicular to (y = -1) and passes through the point (8, -4), we need to determine the equation of the line in slope-intercept form (y = mx + b). Since the given line (y = -1) has a slope of 0, any line perpendicular to it will have an undefined slope. The equation of the line can be written as (x = 8), which means that the x-coordinate will always be 8 as the line moves vertically. Therefore, the correct answer is (A. x = 8).