question\nfind the equation that represents the proportional relationship in this graph, for y in terms of x.

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 value of $k$

We can use a point on the line. Let's take the point $(8,6)$. Substitute $x = 8$ and $y = 6$ into $y=kx$. Then $6 = k\times8$, so $k=\frac{6}{8}=\frac{3}{4}$.

Answer:

$y=\frac{3}{4}x$