Question

Explain how the points a (9, -2/3) and b (9, 2/5) are related. Use vocabulary words to explain your explanation.

Options:
a) They are inversely related due to their y-coordinate values.
b) The points a and b are not related geometrically.
c) They are parallel due to their x-coordinate values.
d) They are unrelated in terms of their positioning in a plane.

Answer 1

The points A (9, -2/3) and B (9, 2/5) lie on the same vertical line where x equals 9, indicating that they have a constant x-coordinate but different y-coordinates. option (c)

Step-by-step explanation:

The points A (9, -2/3) and B (9, 2/5) are related geometrically because they have the same x-coordinate but different y-coordinates. This means that the two points lie on a vertical line, which is a line that runs up and down the plane. Specifically, they are both on the line where x equals 9.

Since the x-coordinate is constant, but the y-coordinates are different, the vertical line does not have a slope; thus, its slope is undefined. This relationship does not fit any of the descriptions in the provided options directly, but it is closely associated with the concept that they are on a line parallel to the y-axis.