Question

Is the line through points PC-7.-2) and Q(-8. 1) parallel to the line through points R(5. - 4) and

S(-5, 0)? Explain

Answer 1

Step-by-step explanation:

line through P(0, 5) and Q(-1, 8):

slope = m = (y2 - y1) / (x2 - x1) = (8 - 5) / (-1 - 0) = 3 / -1 = -3

line through R(3, 3) and S(5, -1):

slope = m = (y2 - y1) / (x2 - x1) = (-1 - 3) / (5 - 3) = -4 / 2 = -2

Parallel lines have equal slopes. Since the two lines have different slopes, they are not parallel.