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Write the equation of the line that passes through (8,1) and is perpendicular to the line whose equation is y=−4x+2. Show all work below and place it in Slope Intercept Form.

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Answer:

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

Step-by-step explanation:

1 = ¼[8] + b

2

[tex]\displaystyle -1 = b \\ \\ y = \frac{1}{4}x - 1[/tex]

* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], so −4 becomes ¼.

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