Question

A line parallel to 3x-2y=8 and passes through (-12,18)

Answer 1

paralell has same slope

for ax+by=c
the slope is -a/b
so a line of same slope is in form
dx+ey=f where a=d and e=b

so the line is 3x-2y=c
now we input the point to find c
(-12,18)
(x,y)
x=-12
y=18
3(-12)-2(18)=c
-36-36=c
-72=c

3x-2y=-72