Find a equation for the line, in point-slope form, that contains (5,1) and is perpendicular to 6x − 3y = 2.

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asked Jan 25, 2018 50.8k views

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Qstack · Answer 1 · 2018-01-31T09:56:56+0000

hello :
let the slope : a and ; b the slope of the line : 6x - 3y = 2
the line that is perpendicular to 6x-3y=2 so : a×b = - 1
but :
6x - 3y = 2... y = 2x-2/3 when : b = 2
in point - form form of the equation of the line that is perpendicular
to 6x-3y=2 is : y = (-1/2)x +c
contains (5,1) : 1 = (-1/2)(5) +c
c = 7/2
an equation is : y= (-1/2)x +7/2

Find a equation for the line, in point-slope form, that contains (5,1) and is perpendicular to 6x − 3y = 2.

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