Question

Determine if the lines 4x+y=6 and -3x+3y=-6 are parallel, perpendicular or neither.

Answer 1

First, you want to put both equations in slope-intercept form (y=mx+b)

Answer 2

put them in y = mx + b form where m is the slope and b is the y intercept.

4x + y = 6
y = -4x + 6
slope = -4 and y intercept = 6

-3x + 3y = -6
3y = 3x - 6
y = x - 2
slope = 1 and y intercept = -2

parallel lines will have the same slope
perpendicular lines will have negative reciprocal slopes...all that means is flip the slope and change the sign. Example : 2/1 and -1/2 are negative reciprocals and they are perpendicular.
if the slopes and y intercepts are different, then they are neither parallel or perpendicular

so what do you think the answer is ?