Find the equation of the line perpendicular to y=−5x/11 that passes through (1,−3)

Jenny Roberson

Jenny Roberson

Answered question

2022-11-02

Find the equation of the line perpendicular to y = - 5 11 x that passes through (1,−3)

Answer & Explanation

cenjene9gw

cenjene9gw

Beginner2022-11-03Added 13 answers

y = - 5 11 x has a slope ( - 5 11 )
For any line with a slope of m all lines perpendicular to it have a slope of ( - 1 m )
Therefore any line perpendicular to y = - 5 11 x has a slope of 11 5 .
If such a line passes through the point (1,−3) then we can write its equation in the slope-point form y - y ^ = m ( x - x ^ )
So our required line can be written as:
XXX y - ( - 3 ) = 11 5 ( x - 1 )
While this is a valid answer to the given question, we would normally simplify it and convert it into standard form:
XXX 5 ( y + 3 ) = 11 ( x - 1 )
XXX 5 y + 15 = 11 x - 11
XXX 26 = 11 x - 5 y
XXX 11 x - 5 y = 26

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