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 the points $(0, 1)$ and $(1, 3)$.

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $x_1 = 0,y_1 = 1,x_2=1,y_2 = 3$ into the formula, we get $m=\frac{3 - 1}{1 - 0}=\frac{2}{1}=2$.

Step3: Recall the property of parallel lines

Parallel lines have the same slope. So the slope of a line parallel to the given line is also 2.

Answer:

2