Question

What is the slope of a line parallel to the line whose equation is 9x – 3y = -54.Fully reduce your answer.

Answer 1

The slope of a line parallel to the line whose equation is 9x -3y = -54 has the same slope . To solve for the slope we can find y by using the following formula

`\begin{gathered} y=mx+b \\ m=slope \\ b=y\text{ intercept} \\ y=mx+b \\ 9x-3y=-54 \\ 9x-9x-3y=-54-9x \\ -3y=-54-9x \\ (-3y)/(-3)=(-54)/(-3)+(-9x)/(-3) \\ y=18+3x \\ \end{gathered}`

The slope of the line parallel to the line = 3