we have
3x-4y=8
step 1
find the slope of the given line
isolate the variable y
4y=3x-8
y=(3/4)x-2
the slope of the given line is m=3/4
step 2
Remember that, if two lines are parallel, then their slopes are equal
so
option B and C are parallel lines to line b
Verify
Option B
we have
-3x+4y=6
4y=3x+6
y=(3/4)x+6/4
the slope is m=3/4. that means is parallel to line b
Option C
we have
3x-4y=6
4y=3x-6
y=(3/4)x-6/4
the slope is m=3/4. that means is parallel to line b
therefore
teh answer is option B and C
