Which is the equation of a line that is perpendicular to the line represented by. Y=3/4 X+ -1/2

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07-03-2022
Mathematics

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Which is the equation of a line that is perpendicular to the line represented by. Y=3/4 X+ -1/2

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Intriguing456idn Intriguing456idn · Answer 1 · 2022-03-07T00:06:37-05:00

Intriguing456idn Intriguing456idn

07-03-2022

Answer:

[tex]y = -\frac{4}{3}x - \frac{1}{2}[/tex]

Step-by-step explanation:

[tex]y = \frac{3}{4}x - \frac{1}{2}[/tex]

The perpendicular slope is the negative reciprocal of 3/4, which is -4/3, so the equation of a line perpendicular to the equation must have a slope of -4/3, so for simplicity I will use the same y-intercept, giving you:

[tex]y = -\frac{4}{3}x - \frac{1}{2}[/tex]

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