Question

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

Explanation:

Step1: Recall slope - formula

The slope formula for 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 \((0, - 4)\) and \((4,5)\).

Step2: Calculate the original slope

\[m=\frac{5-( - 4)}{4 - 0}=\frac{5 + 4}{4}=\frac{9}{4}\]

Step3: Recall parallel - line property

Parallel lines have the same slope. So if the original line has a slope \(m=\frac{9}{4}\), the slope of a parallel line is also \(\frac{9}{4}\).

Answer:

Original Slope: \(\frac{9}{4}\)
Parallel Slope: \(\frac{9}{4}\)