Question

write the equation for the relationship shown in the graph.

Explanation:

Step1: Identify slope formula

The slope $m$ of a line through points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.

Step2: Pick two points on the line

Use $(0,0)$ and $(5,10)$.

Step3: Calculate the slope

$m=\frac{10-0}{5-0}=2$

Step4: Identify y-intercept

The line crosses the y-axis at $(0,0)$, so $b=0$.

Step5: Write line equation

Use $y=mx+b$, substitute $m=2, b=0$.
$y=2x$

Answer:

$y=2x$