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igomit [66]
3 years ago
7

What is an equation of the line that is perpendicular to y=-3/4x+6 and passes through the point (3,9)

Mathematics
1 answer:
goldenfox [79]3 years ago
5 0

Answer:

y=\frac{4}{3}x+5

Step-by-step explanation:

The line y= -3/4+6 in the comments has slope -3/4. A perpendicular line will have the negative reciprocal of -3/4. It's 4/3.

To write the equation, substitute 4/3 and the point (3,9) into

y-y_1 = m(x-x_1)

y-9=\frac{4}{3}(x-3)\\\\y-9=\frac{4}{3}x -\frac{4*3}{3}\\\\y-9=\frac{4}{3}x-4\\\\y=\frac{4}{3}x+5

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3 years ago
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Answer:

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