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

I never really understood most of this no matter how easy it sounds, haha.

Answer 1

Alright, in order to find a perpendicular line, it has to have a slope that is the negative reciprocal of the line it is perpendicular to.

for x = 4, it technically has /no/ slope. But, for these lines, you can find a perpendicular line in y = n (where n is any value you choose.)

However, as for y=n has to cross through the points, 5, 7 as well.

Answer 2

can you draw the line x=4 on this diagram?

it passes thrugh the point 4 =4 on the axis, and is VERTICAL