Find the equation of the line perpendicular to y=−2/5x−1 at x=−1

Alfredeim 2022-09-11 Answered
Find the equation of the line perpendicular to y = - 2 5 x - 1 at x=−1
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Answers (1)

Griffin Dean
Answered 2022-09-12 Author has 13 answers
given that y = - 2 5 x - 1
at x=−1
y = - 2 5 ( - 1 ) - 1 = 2 5 - 1 = - 3 5
the line perpendicular has a slope, m where
m ( - 2 5 ) = - 1 m = 5 2
the equation is,
y=mx+c and plug in the values of x, y and m to find c
- 3 5 = 5 2 ( - 1 ) + c
- 3 5 = - 5 2 + c
- 3 5 + 5 2 = c 19 10
therefore the equation is y = 5 2 x + 19 10 10 y = 25 x + 19
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