Question

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

Answer 1

Answer:

$y = -\frac{5}{7}x - 4\frac{4}{7}$

Step-by-step explanation:

−6 = −5⁄7[2] + b

−1 3⁄7

$-4\frac{4}{7} = b \\ \\ y = -\frac{5}{7}x - 4\frac{4}{7}$

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

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