Question

The graph shows a relationship between x and y. x, y Which statement is true? The graph shows a proportional relationship because the x and y intercepts both contain 7. The graph shows a non-proportional relationship because the graph does not contain the origin. The graph shows a non-proportional relationship because the graph has a negative slope. The graph shows a proportional relationship because the graph passes through 3 different quadrants.

Answer 1

The graph shows a non-proportional relationship because the graph does not contain the origin.

How to identify a proportional relationship?

A proportional relationship is a relationship between two variables where their ratios are equivalent. In other words, one variable is always a constant value times the other variable, and that constant value is called the constant of proportionality.

The x-intercept is (7, 0) while the y-intercept is (0, 7)

Now, we can calculate the slope as:

Slope = (7 - 0)/(0 - 7)

Slope = -1

Now, for the graph to show a proportional relationship, it has to pass through the origin but this does not pass through the origin and as such it is not a proportional relationship.