Question

what is the slope of a line parallel to the line shown on the coordinate plane?

Explanation:

Step1: Select two points on the line

Let's take $(0, 2)$ and $(1, 5)$.

Step2: Use slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 2,x_2=1,y_2 = 5$. Then $m=\frac{5 - 2}{1 - 0}=\frac{3}{1}=3$.

Step3: Recall parallel - line property

Parallel lines have equal slopes. So the slope of a line parallel to the given line is the same as the slope of the given line.

Answer:

3