Write an equation of the line perpendicular to the line x - 5y = -10 and passing through the point (2,5)

Nathanial Levine 2022-09-29 Answered
Write an equation of the line perpendicular to the line x - 5y = -10 and passing through the point (2,5)
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Answers (1)

Ricky Lamb
Answered 2022-09-30 Author has 7 answers
I would use the relationship:
y - y 0 = m ( x - x 0 )
Where m is the slope and x 0 , y 0 are the coordinates of your point.
The slope m of the perpendicular is given as: m = - 1 m 1 where m 1 is the slope of your given line:
Your line can be written (isolating y):
y = x 5 + 2 which has slope m 1 = 1 5 (the coefficient of x).
So, the slope of the perpendicular will be:
m=−5
Finally you get:
y - 5 = - 5 ( x - 2 )
y = - 5 x + 10 + 5
y = - 5 x + 15
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