Are these two lines parallel, perpendicular, or neither? Explain. 9x+3y=8, 3x+9y=8

1 Answer
Nov 24, 2015

The given lines are neither parallel nor perpendicular.

Explanation:

To check if two lines are parallel or perpendicular it is good to change the equations to form y=ax+b

The first line is:

9x+3y=8

3y=9x+8

y=3x+83

The second line is:

3x+9y=8

9y=3x+8

y=13x+89

From those equations we can see that those lines are **neither parallel nor perpendicular **

They would be parallel if the coefficients of x were equal.

They would be perpendicular if the coefficients of x were inverse and opposite numbers (for example 3 and (13) or (2) and 12)