Question

This graph shows a proportional relationship.



What is the constant of proportionality?
y= 1/4 x= 3/8

Answer 1

Answer:

y = 1/4x

Step-by-step explanation:

Proportional Relationships:

A proportional relationship is similar to a linear relationship, with one distinction, it's y-intercept is equal to zero, so it can be expressed in the form: $y=kx$, where "k" is some constant. More specifically, when we divide y by x, we always get a constant amount, denoted as "k": $\frac{y}{x}=k$.

Using this knowledge, we can kind of immediately tell it's $y=\frac{1}{4}x$ as it's the only one in the form: $y=kx$, but let's look at why $x=\frac{3}{8}$ is not a proportional relationship.

It's important to note that $x=\frac{3}{8}$ is a vertical line, since the x value is constant while the y value varies. This means "y/x" cannot be constant, since "y" changes, except what it's being divided by will remain the same, equal to 3/8.