Question

2 fill in the blank 1 point the slope of the parallel line is type your answer.

Explanation:

Step1: Select two points on the line

Let's take two points on the given line, say $(-8,0)$ and $(0, - 4)$.

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $x_1=-8,y_1 = 0,x_2 = 0,y_2=-4$ into the formula, we get $m=\frac{-4 - 0}{0-(-8)}=\frac{-4}{8}=-\frac{1}{2}$.

Step3: Recall the property of parallel lines

Parallel lines have the same slope. So the slope of a line parallel to the given line is the same as the slope of the given line.

Answer:

$-\frac{1}{2}$