Question

Which linear graph represents a proportional relationship?

a graph of a line that passes through the points 0 comma negative 1 and 2 comma negative 1
a graph of a line that passes through the points 0 comma 0 and 1 comma 6
a graph of a line that passes through the points 0 comma 4 and 2 comma 0
a graph of a line that passes through the points 0 comma negative 3 and 1 comma negative 1

Answer 1

The linear graph that represents a proportional relationship is a graph of a line that passes through the points 0,0 and 1,6.

Step-by-step explanation:

The linear graph that represents a proportional relationship is (b) a graph of a line that passes through the points 0,0 and 1,6.

In a proportional relationship, two values or constants change in such a way that a change in one leads to the same change in the other. This is represented by the equation y = kx, where k is the proportionality constant.

In the given options, only the graph in (b) is a straight line that passes through the origin (0,0), indicating a direct proportional relationship.