Question

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.

Answer 1

`\displaystyle y = (1)/(4)x - 1`

Explanation:

1 = ¼[8] + b

2

`\displaystyle -1 = b \\ \\ y = (1)/(4)x - 1`

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

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