Question

Are the graphs of the lines in the pair parallel? Explain. y = 3/7x+ 11 –3x + 7y = 13

Answer 1

Remember that parallel lines have the same slope.

y=3/7x+11 (in slope intercept form already)

-3x+7y=13 (standard form)

Add 3x to both sides, giving you 7y=3x+13, divide by 7 on both sides, giving 


y=3/7x+13/7

Since both equations' slopes' are the same, their graphs will be parallel.