Question

is the following relationship proportional? why or why not? proportional - straight line proportional - passes through x=0 non - proportional - does not pass through origin non - proportional - angled line is the following relationship proportional? why or why not?

Explanation:

Step1: Recall proportional - relationship criteria

A proportional relationship between two variables $x$ and $y$ is represented by the equation $y = kx$ ($k$ is a non - zero constant) and its graph passes through the origin $(0,0)$.

Step2: Analyze the first graph

The first graph is a straight - line, but it does not pass through the origin $(0,0)$. So it is non - proportional.

Step3: Analyze the second graph

The second graph is a line segment that does not pass through the origin $(0,0)$. So it is non - proportional.

Answer:

For the first graph: Non - Proportional - does NOT pass through origin
For the second graph: Non - Proportional - does NOT pass through origin