Question

question 5 of 10 the lines shown below are parallel. if the green line the slope of the red line? a. -2 b. 2 c. -1/2 d. 1/2

Explanation:

Step1: Recall slope property of parallel lines

Parallel lines have equal slopes.

Step2: Identify slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step3: Select two points on green line

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

Step4: Calculate slope of green line

$m=\frac{-4-(-3)}{2 - 0}=\frac{-4 + 3}{2}=\frac{-1}{2}=-\frac{1}{2}$.

Step5: Determine slope of red line

Since red and green lines are parallel, slope of red line is also $-\frac{1}{2}$.

Answer:

C. $-\frac{1}{2}$