Determine whether the pair of lines are​ parallel, perpendicular, or neither.

Question

6x=7y+1

-30x+35y=1

Answer 1

Need to put both equations in y=mx+b format to determine the slopes.

6x=7y+1 Subtract 1 from both sides

6x-1=7y+1-1 Simplify

6x-1=7y Divide both sides by 7

6x/7-1/7=7y/7 Simplify

y=6x/7-1/7 m=6/7

-30x+35y=1 Add 30x to both sides

-30x+35y+30x=1+30x Simplify

35y=30x+1 Divide both sides by 35

35y/35=30x/35+1/35 Simplify

y=6x/7+1/35 m=6/7

Since the slopes are equal, these lines are parallel.

Answer 2

slope of 1st is 6/7 slope of 2nd is 30/35=6/7 Same slope means they're parallel