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what is slope of the line parallel to the given line(I know the steps no explanation just need work:)

what is slope of the line parallel to the given line(I know the steps no explanation-example-1
User Pixeladed
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Given the equation of the line :


4x-3y=-12

To find the slope, solve the equation for y:


\begin{gathered} 4x-3y=-12 \\ -3y=-4x-12 \end{gathered}

Divide both sides by -3 :


\begin{gathered} (-3y)/(-3)=(-4x)/(-3)-(12)/(-3) \\ \\ y=(4)/(3)x+4 \end{gathered}

So, the slope of the given line = 4/3

And the slope of the line parallel to the given line = 4/3

Because the parallel line have the same slopes

So, the answer is : slope = 4/3

User Zulander
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