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What is the equation of the line that passes through (4, 2) and is parallel to 3x – 2y = –6?

A.
y=-3/2x-4
B.
y=3/2x-4
C.
y=1/2x
D.
y=2/3x-4

Respuesta :

paralell has same slope
slope of ax+by=c is -a/b
so a paralalell line to ax+by=c is ax+by=z where a=a and b=b and z is a constant

so
paralalel to 3x-2y=-6 is 3x-2y=?
find ?
given point (4,2)
sub
3(4)-2(2)=12-4=8

equation is 3x-2y=8
solving for slope itnercept or y
minus 3x both sides
-2y=-3x+8
divide by -2
y=3/2x-4

B is answer