Question

y = 3x+1 AND y = (⅓)x + 1 Determine whether or not the two lines are parallel, perpendicular or neither.

Answer 1

Answer: They are neither

Explanation:

Parallel lines have the same slope, but different y-intercepts. If they have the same slope and y-intercepts they are the same line.

Perpendicular lines have opposite reciprocal slopes.

Example:

`y=(1)/(2)x+3`

The line perpendicular to this is:
`y=-(1)/(2)x+4` not
`y=(1)/(2)x+4`

(y-intercepts don't matter for perpendicular lines)