Which equation represents a line which is parallel to the line 5x – 4y =-12?
step 1
Find the slope of the given line
isolate the variable y
4y=5x+12
y=(5/4)x+3
so
the slope is m=5/4
step 2
Remember that , if two lines are parallel, then their slopes are the same
The slope of the line parallel to the given line is
m=5/4
step 3
Find the equation in slope intercept form
y=mx+b
we have
m=5/4
y=(5/4)x+b
therefore
the answer is the option D
