Question

question 8 of 10 the lines shown below are parallel. if the green line, the slope of the red line? a. -5 b. $\frac{1}{5}$ c. -$\frac{1}{5}$ d. 5

Explanation:

Step1: Recall slope property of parallel lines

Parallel lines have equal slopes.

Step2: Determine slope of green - line

The green line passes through points (0, - 2) and (1,3). Using the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, we have $m=\frac{3-(-2)}{1 - 0}=\frac{3 + 2}{1}=5$.

Step3: Find slope of red - line

Since the red line is parallel to the green line, the slope of the red line is also 5.

Answer:

D. 5