Question

answer original slope: blank parallel slope: blank

Explanation:

Step1: Recall slope - formula

The slope formula for a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify two points on the original line

Let's assume two points on the original line: say $(0, - 1)$ and $(4,5)$.

Step3: Calculate the original slope

$m=\frac{5-( - 1)}{4 - 0}=\frac{5 + 1}{4}=\frac{6}{4}=\frac{3}{2}$.

Step4: Recall the property of parallel lines

Parallel lines have the same slope.

Answer:

Original Slope: $\frac{3}{2}$
Parallel Slope: $\frac{3}{2}$