Find the equation of the line perpendicular to y=−3/7x+12 at x=−1

Leroy Gray

Leroy Gray

Answered question

2022-09-09

Find the equation of the line perpendicular to y = - 3 7 x + 12 at x=−1

Answer & Explanation

Emma Cooper

Emma Cooper

Beginner2022-09-10Added 9 answers

Perpendicular means that the slopes will be opposite, so the slope is (7/3). At x = -1 the original line y value is 12 + 3 7 or ( 87 7 ) .
To find the new constant at that point we put it into the new equation.
y = ( 7 3 ) x + b ; ( 87 7 ) = ( 7 3 ) ( - 1 ) + b ; ( 87 7 ) + ( 7 3 ) = b ; ( 261 21 ) + ( 49 21 ) = b
( 310 21 ) = b
So the new line equation is y = ( 7 3 ) x + ( 310 21 )

CHECK: At (-1, (87/7)) ( 87 7 ) = ( 7 3 ) ( - 1 ) + ( 310 21 )

( 87 7 ) = ( 261 21 )
( 87 7 ) = ( 87 7 ) Correct!

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