Question

Select the equation of the line that passes through the point (2, 6) and is perpendicular to the line x = 4.

y = 4

y = 6

x = 6

x = 2

Answer 1

The answer has to be y=6, Not only is it perpendicular it is the only line that passes through the point (2,6) 

Answer 2

The correct answer is y = 6. Since the equation x = 4 doesn't have y in it, the line will be vertical, meaning that it goes straight up and down. Therefore, the line perpendicular to it has to be horizontal, or going from side to side, meaning that it must be either y = 4 or y = 6.

The line also has to pass through the point (2, 6). y = 6 is the only line of the two that passes through this point, since it is a horizontal line 6 units up the y axis. The other line, y = 4, is a horizontal line that is too far down to cross (2, 6), since the point is always 2 units above it.

Therefore, the correct answer is y = 6.

Hope this helps!