Question

Which characteristics of a graph tell you that it represents a proportional relationship?

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Answer 1

Answer:

A graph of a proportional relationship is a straight line that passes through the origin. The constant of a proportionality in a graph of a proportional relationship is the constant ratio of y to x (the slope of the line).

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Answer 2

The characteristics of a graph that tell you, it represents a proportional relationship, are described below.

• A line that passes through the Origin (0, 0) represents a proportional relationship.
• The equation for such a line will be expressed in the form of $y=kx$, where $k$ is said to be the constant of proportionality, and it is also, the slope of this line. $k$ can be determined by dividing the y-coordinate by the x-coordinate at any point, as $k=\frac{y}{x}$.
• In the case of a directly proportional relationship, the value of y increases with an increase in x, and y decreases when x decreases.

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