Question

question
find 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 $k$ using a point on the line

The line passes through the point $(0.2,0.9)$. Substitute $x = 0.2$ and $y = 0.9$ into $y=kx$. Then $0.9=k\times0.2$. Solving for $k$, we get $k=\frac{0.9}{0.2}=4.5$.

Step3: Write the equation

Substitute $k = 4.5$ into $y = kx$. The equation is $y = 4.5x$.

Answer:

$y = 4.5x$