Question

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

Explanation:

Step1: Select two points on the original line

Let's take two points on the original line, say $(0, - 1)$ and $(3,5)$.

Step2: Calculate the original slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points $(x_1,y_1)=(0,-1)$ and $(x_2,y_2)=(3,5)$ into the formula, we get $m=\frac{5-( - 1)}{3 - 0}=\frac{5 + 1}{3}=\frac{6}{3}=2$.

Step3: Determine the parallel slope

Parallel lines have the same slope. So if the original line has a slope of 2, the slope of a line parallel to it is also 2.

Answer:

Original Slope: 2
Parallel Slope: 2