What would you need to do to determine if the lines below are parallel, perpendicular, or neither and then say if you think they are parallel, perpendicular, or neither. y-3 = 5(x+2) & 15x + 3y = 7

Answer 1

You need to compare their slopes.

Two lines that are parallel have the same slope.

Two lines that are perpendicular have slopes that are the negative reciprocals of each other (example: 3/4 and -4/3).

Lines that are neither have neither equal slopes or slopes that are negative reciprocals of each other.

For line 1: y - 3 = 5(x + 2) or y - 3 = 5x + 10 or y = 5x + 13, the slope is "5"

For line 2: 15x + 3y = 7 or 3y = -15x + 7 or y = (-15/3)x + 7/3 or y = -5x + 7/3, the slope is "-5"

These are not equal, so the lines are not parallel. These are also not negative reciprocals of each other (the negative reciprocal of 5 is -1/5). So they are neither parallel or perpendicular.