Question

Which equation represents a line which is parallel to the line 5x – 4y =-12?A) y=-5/4x-1B)y=4/5x+4C) y=-4/5x-4D) y=5/4x-8

Answer 1

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