Question

answer attempt 1 out of 2 original slope: undefined parallel slope: undefined

Explanation:

Step1: Recall slope - formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's assume two points on the first line: say $(0, - 3)$ and $(5,5)$.

Step2: Calculate the original slope

$m=\frac{5-( - 3)}{5 - 0}=\frac{5 + 3}{5}=\frac{8}{5}$.

Step3: Use the property of parallel lines

Parallel lines have equal slopes. So the slope of a line parallel to the given line is the same as the original line's slope.

Answer:

Original Slope: $\frac{8}{5}$
Parallel Slope: $\frac{8}{5}$