Question

Select the equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4.

y = 4
x = 5
y = 7
x = 7


would y=7? if so could someone explain. thanks in advance.

Answer 1

Yes , it would be y = 7 As, the required line is perpendicular to x = 4 it will definitely pass through y axis and it will be a straight line passing through the y coordinate of the point (5,7)

Answer 2

Yes, I think the answer is y = 7. The line x = 4 runs vertical (because all of the points in that line have an x-value of 4) so any line that is perpendicular to it has to be horizontal. Any line that is horizontal is in the form y = (some number). In order for the new line to run through the point (5,7) it would have to have the same y-value as that point, which is 7. So the new line is y = 7. Hope this helps :) (P.S. try graphing them both if you need a visual.)