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This is your perfect answer
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Answer:

[tex]y=\frac{1}{10}x+6.5[/tex]

Step-by-step explanation:

We know that a perpendicular line is the slopes reciprocol, so we just flip it.

10/1 --> 1/10

y = 1/10x + b

Now we plug in the coordinates to solve for the y-int!

7 = (1/10)5 +b

7 = 1/2 + b

Subtract 1/2 on both sides!

6.5 = b

Reform equation!

[tex]y=\frac{1}{10}x+6.5[/tex]

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