Question

tap on each button to learn more about writing linear equations in slope - intercept form. y = mx + b the slope is $\frac{rise}{run}=\frac{2}{3}$. this value can be substituted for m in the slope - intercept form.

Explanation:

Step1: Identify slope and y - intercept

The slope $m=\frac{2}{3}$ as given. From the graph, the line crosses the y - axis at $y = 1$, so $b = 1$.

Step2: Write the linear equation

Substitute $m=\frac{2}{3}$ and $b = 1$ into $y=mx + b$. We get $y=\frac{2}{3}x+1$.

Answer:

$y=\frac{2}{3}x + 1$