+2448 Line r contains points (6, 1) and (-4,-4). Which of the following pairs of points define a line parallel to line r?
A (0,2) and (6, 5)
B(8,2) and (6, 5)
C(2, 0) and (5,6)
D(5,2) and (3, 0)
+129852 Parallel lines have the same slope
The slope of r is [ -4 -1 ] / [ -4 -6] = [ -5 ] / [-10] = 5/10 = 1/2
A (0,2) and (6, 5)
slope = [ 5 - 2] / [ 6 - 0] = 3/6 = 1/2 parallel
B(8,2) and (6, 5)
slope = [ 5 - 2] / [ 6 - 8 ] = 3/-2 = -3/2 not parallel
C(2, 0) and (5,6)
slope = [ 6 - 0 ] / [ 5 - 2] = 6 / 3 = 2 not parallel
D(5,2) and (3, 0)
slope = [ 0 - 2 ] / [ 3 - 5] = -2/-2 = 1 not parallel
