Question

Are the lines 3x - y = 6 and y = 3x + 5 parallel, perpendicular or neither

Answer 1

Hi there!

`\large\boxed{\text{Parallel.}}`

Rearrange the first equation into the format y = mx + b for easier comparison:

3x - y = 6

Move 3x to the other side of the equation:

-y = -3x + 6

Multiply all terms by -1:

y = 3x - 6

In comparison to y = 3x + 5, both equations have the same "m" value, or slope.

Therefore, the lines are parallel.