Question

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

y= 2/3 x + 9; (-6, 5)

Answer 1

`y = -1(1)/(2)x - 4`

Explanation:

5 = −1½[−6] + b

9

`-4 = b \\ \\ y = -1(1)/(2)x - 4`

Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], so ⅔ becomes −3⁄2 [or −1½].

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