Question

For which value of a is a line through the points (-2, 6) and (a, -6) parallel to the y-axis?

A. -2
B. 0
C. 6
D. any value of a

Answer 1

The value of a for which a line through the points (-2, 6) and (a, -6) is parallel to the y-axis is -2.

Step-by-step explanation:

To find the value of a for which a line through the points (-2, 6) and (a, -6) is parallel to the y-axis, we need to consider the slope of the line.

The slope of a line parallel to the y-axis is undefined because it does not change in the x-direction. Therefore, the x-coordinates of the two points will be the same.

So, we need to find the value of a that makes a = -2. Therefore, the answer is option A. -2.