Question

Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?
(0, 1)
(0, 4)
(1, 0)
(4, 0)

Answer 1

Answer:

(1, 0)

Step-by-step explanation:

Points M and N have coordinates (-4,0) and (4,2), respectively.

Then vector is perpendicular to the neede line.

2. Write the equation of line that passes through the point P(2,-4) and is perpendicular to vector

3. Find the point on x-axis, that lies on the perpendicular line.

When y=0, then 4x-4=0, x=1 and point (1,0) lies on perpendicular line.

Answer: correct choice is C.