How to find the points on a coordinate plane

The -coordinate of the midpoint is half the sum of the -coordinates of the endpoints:

The -coordinate of the midpoint is found similarly:

The midpoint has coordinates .

The point does not move in any direction on the -axis, but does move units up on the -axis. Therefore, the point is located only on the -axis.

All points in Quadrant II have negative -coordinates and positive -coordinates. The only answer that fulfills these criteria is .

By definition, a point with a negative -coordinate and a negative -coordinate lies in Quadrant III on the coordinate plane.

The point has a negative coordinate and a positive coordinate. By definition, any point on a coordinate plane with these characteristics is located in Quadrant II.

The -coordinate of the midpoint can be found by dividing the sum of the -coordinates of the endpoints by 2:

The -coordinate of the midpoint is found similarly:

The coordinates of the midpoint are .

By definition, any point in the coordinate plane that has a non-zero value -coordinate and a zero-value -coordinate is on the -axis.

A point with a positive -coordinate and a negative -coordinate can be found in Quadrant IV.

By definition, a point on the coordinate plane that is in Quadrant III must have both a negative coordinate and a negative coordinate. The only answer choice that satisfies both of these conditions is .