Question

Write the equation of a line that is perpendicular to y=7/5x+6 and passes through the point (2, -6)

Answer 1

`y = -(5)/(7)x - 4(4)/(7)`

Explanation:

−6 = −5⁄7[2] + b

−1 3⁄7

`-4(4)/(7) = b \\ \\ y = -(5)/(7)x - 4(4)/(7)`

Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], so 1 2⁄5 [or 7⁄5] becomes −5⁄7.

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