Question

Write the equation of a line in slope-intercept form that contains the point (-4,-2) with undefined slope."

A) y = -2x + 6
B) y = -2x - 6
C) x = -4
D) y = 6

Answer 1

The equation of a line with undefined slope that passes through the point (-4,-2) is x = -4. The correct answer is C) x = -4.

Step-by-step explanation:

To write the equation of a line in slope-intercept form, we need the slope and the y-intercept. However, in this case, the slope is undefined. When the slope is undefined, it means the line is vertical.

A vertical line has the equation x = a, where a is the x-coordinate of any point on the line. In this case, since the line passes through the point (-4,-2), the equation would be x = -4.

Therefore, the correct answer is C) x = -4.