what is the slope of a line that is parallel to the line shown on the graph?\n-4\n-\\frac{1}{4}\n\\frac{1}{4}…

Explanation:

Step1: Select two points on the line

Let's take two points on the given line, say $(0, - 3)$ and $(4,-2)$.

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1=-3,x_2 = 4,y_2=-2$. Then $m=\frac{-2-(-3)}{4 - 0}=\frac{-2 + 3}{4}=\frac{1}{4}$.

Step3: Recall the property of parallel lines

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:

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