Question

question 10 of 10 the lines shown below are parallel. if the green line, the slope of the red line?

Explanation:

Step1: Recall slope - parallel line relation

Parallel lines have equal slopes.

Step2: Identify slope of green line

Pick two points on green line, say $(0, 0)$ and $(4, - 1)$. Use slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here $x_1 = 0,y_1 = 0,x_2=4,y_2=-1$, so $m=\frac{-1 - 0}{4 - 0}=-\frac{1}{4}$.

Step3: Determine red - line slope

Since red line is parallel to green line, its slope is also $-\frac{1}{4}$.

Answer:

A. $-\frac{1}{4}$