Find a line that passes through (3,5) perpendicular to a line whose slope is -1/9

miklintisyt 2022-10-15 Answered
Find a line that passes through (3,5) perpendicular to a line whose slope is -1/9
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Answers (1)

RamPatWeese2w
Answered 2022-10-16 Author has 15 answers
The standardised equation of a strait line is y=mx+c where m is the gradient.
Any line perpendicular to this will have the gradient of:
( - 1 ) × 1 m
So in this case as m = - 1 9 the gradient of the perpendicular is:
( - 1 ) × - 9 1 = + 9
Thus the equation of the line we are after is y=9x+c
This line passes through the point ( x , y ) ( 3 , 5 )
so by substitution we have:
y = 9 x + c 5 = 9 ( 3 ) + c
5 = 27 + c
subtract 27 from both sides
5 - 27 = 27 - 27 + c
c = - 22
Thus we have:
y = 9 x - 22
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