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Which equation represents a line which is perpendicular to the line 4y - 3x = -20?

User Prajjwal
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1 Answer

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Remember that when two lines are perpendicular, the product of their slopes is equal to -1.

The slope-intercept form of the equation of a line with slope m and y-intercept b is:


y=mx+b

Isolate y from the given equation to find the slope of the line:


\begin{gathered} 4y-3x=-20 \\ \Rightarrow4y=3x-20 \\ \Rightarrow y=(3x-20)/(4) \\ \Rightarrow y=(3)/(4)x-5 \end{gathered}

Then, the slope of the given line is 3/4. For a line with slope m to be perpendicular to it, m must satisfy the following condition:

User Mikebolt
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