find the equation that represents the proportional relationship in this graph, for y in terms of x.\nanswer…

Explanation:

Step1: Recall proportional - relationship formula

The equation for a proportional relationship is $y = kx$, where $k$ is the constant of proportionality.

Step2: Find the constant of proportionality $k$

We can use a point on the line. Let's take the point $(3,3)$. Substitute $x = 3$ and $y = 3$ into $y=kx$. Then $3=k\times3$. Solving for $k$, we get $k = 1$ by dividing both sides of the equation by 3 ($k=\frac{3}{3}=1$).

Answer:

$y = x$