Which point is on the line that passes through point z and is perpendicular to line ab? (–4, 1) (1, –2 ) (2, 0) (4, 4)

For this case we have that if the line that passes through point z is perpendicular to line AB, it is fulfilled that:

We find the slope of AB:

We choose the points that go through AB:

(-2.4)

(0, -4)

So:

On the other hand, the point z is (0,2).

Then the cut point with the "y" axis is 2.

The equation of the line is:

We test the points:

(-4,1)

Is fulfilled

(1, -2)

It is not true

(2,0)

It is not true

(4,4)

It is not true

Option A

answer: y=0 if that is what u r looking for