Question

use the given line and the point not on the line to answer the question. what is the point on the line perpendicular to the given line, passing through the given point that is also on the y - axis? (-3.6,0) (-2,0) (0,-3.6) (0,-2)

Explanation:

Step1: Recall properties of perpendicular lines and y - axis

A point on the y - axis has an x - coordinate of 0. So we can eliminate the first two options (-3.6, 0) and (-2, 0) since their x - coordinates are non - zero.

Step2: Analyze the problem requirements

We need to find the point on the line perpendicular to the given line, passing through the given point and on the y - axis. By visual inspection or using the properties of perpendicular lines and the position of the given point and line, we know that the correct y - coordinate for the point on the y - axis among the remaining options is the one that satisfies the perpendicular - line relationship. Since the point on the y - axis for the perpendicular line passing through the given point has a y - coordinate of - 2.

Answer:

D. (0, -2)