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

Step-by-step 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:

$y=\frac{1}{2}x+3$

The line perpendicular to this is: $y=-\frac{1}{2}x+4$ not $y=\frac{1}{2}x+4$

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