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Write the equation of the line that passes through (5, −2) and is perpendicular to y = 5/3 x-3.

Need Help ASAP Write the equation of the line that passes through (5, −2) and is perpendicular-example-1
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Answer:

First option

Explanation:

Slope of the given equation = 5/3

Slope of perpendicular line will be -ve of reciprocal of the given slope

Therefore slope of perpendicular line = -3/5

let's apply point slope formula


(y - y _(1)) = m(x - x _(1))

point is (5,-2) and slope m = -3/5


y - ( - 2) = ( - 3)/(5) (x - 5) \\ y + 2 = ( - 3)/(5) (x - 5) \\ y + 2 = ( - 3)/(5) x + 3 \\ y = ( - 3)/(5)x + 1

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