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

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31-10-2022
Mathematics

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

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AidahU685105 AidahU685105 · Answer 1 · 2022-10-31T12:37:19+01:00

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

[tex]\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 \\ \frac{-3y}{-3}=\frac{-54}{-3}+\frac{-9x}{-3} \\ y=18+3x \\ \end{gathered}[/tex]

The slope of the line parallel to the line = 3