50.8k views
4 votes
Find a equation for the line, in point-slope form, that contains (5,1) and is perpendicular to 6x − 3y = 2.

User TelKitty
by
8.2k points

1 Answer

1 vote
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
User Qstack
by
8.3k points