Question

which statement best describes a graph of paired points that form a proportional relationship?

a straight line can be drawn through all the points, but the line does not pass through
the origin.

a straight line cannot be drawn through all of the the points, and the line does not
pass through the origin.

a straight line cannot be drawn through all of the the points, but the line passes
through the origin.

a straight line can be drawn through all the points, and the line passes through the
origin.

Explanation:

A proportional relationship is defined by the equation $y = kx$ where $k$ is a constant. When graphed, this is a straight line that passes through the origin $(0,0)$ because when $x=0$, $y=0$. Additionally, all points representing the relationship will lie exactly on this straight line.

Answer:

D. A straight line can be drawn through all the points, and the line passes through the origin.