Question

what is the slope of a line that is parallel to the line shown on the graph?
○ -4
○ -1/4
○ 1/4
○ 4

Explanation:

Step1: Recall slope - parallel line property

Parallel lines have equal slopes.

Step2: Find slope of given line

Let's take two points on the given line, say $(0, - 3)$ and $(4,-2)$. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Then $m=\frac{-2-(-3)}{4 - 0}=\frac{-2 + 3}{4}=\frac{1}{4}$.

Step3: Determine slope of parallel line

Since parallel lines have the same slope, the slope of the line parallel to the given line is $\frac{1}{4}$.

Answer:

C. $\frac{1}{4}$