Question

consider the line shown on the graph. enter the equation of the line in the form y = mx where m is the slope.

Explanation:

Step1: Select two points on the line

Let's take (0,0) and (3,9).

Step2: Calculate the slope formula

The slope $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $x_1 = 0,y_1 = 0,x_2=3,y_2 = 9$ into the formula, we get $m=\frac{9 - 0}{3 - 0}$.

Step3: Simplify the slope - calculation

$m=\frac{9}{3}=3$.

Step4: Write the equation of the line

Since the line is in the form $y = mx$ and $m = 3$, the equation is $y=3x$.

Answer:

$y = 3x$