Question

Which linear graph represents a proportional relationship?

A graph of a straight line that passes through the points negative 1 comma 3 and 0 comma 0.
A graph of a straight line that passes through the points negative 4 comma negative 3 and 0 comma negative 2.
A graph of a straight line that passes through the points negative 1 comma 3 and 0 comma 3.
A graph of a straight line that passes through the points negative 2 comma negative 1 and negative 2 comma 0.

Answer 1

The linear graph that represents a proportional relationship is a graph of a straight line that passes through the points negative 1,3 and 0,0 (Option A). Proportional relationships have a constant ratio between the two variables.

Step-by-step explanation:

The linear graph that represents a proportional relationship is a graph of a straight line that passes through the points negative 1,3 and 0,0 (Option A).

Proportional relationships have a constant ratio between the two variables. In this case, as x increases by 1, y increases by 3. The graph of this relationship will be a straight line that passes through the origin (0,0).

Option B represents a linear graph but does not have a constant ratio. Option C represents a horizontal line, which means the y-coordinate does not change with respect to the x-coordinate. Option D represents a vertical line, which means the x-coordinate does not change with respect to the y-coordinate.