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23-12-2020
Mathematics

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Write an equation for the line perpendicular to 4x - 12y = 2 and passing through point (10, -1)

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gardnerdanj gardnerdanj

23-12-2020

Answer:

3x+y=-31

Step-by-step explanation:

[tex]4x - 12y = 2\\12y = 4x-2\\y=\frac{x}{3}-\frac{1}{6}[/tex]

Slope of perpendicular line is -3.

[tex]y=-3x+b[/tex]

Sub in the point (10, -1)

[tex]-1=-3(10)+b\\-1=30+b\\b=-31\\y=-3x-31\\3x+y=-31[/tex]

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