Question

determine the slope of each line segment ab cd ef gh shown in the graph

Answer 1

In order to determine the slope of each line segment, we need to calculate the change in y-coordinates divided by the change in x-coordinates for each segment.

AB:
Slope = Change in y / Change in x = (10-0) / (4-0) = 10 / 4 = 2.5

CD:
Slope = Change in y / Change in x = (4-10) / (10-4) = -6 / 6 = -1

EF:
Slope = Change in y / Change in x = (10-5) / (18-10) = 5 / 8 = 0.625

GH:
Slope = Change in y / Change in x = (0-5) / (18-10) = -5 / 8 = -0.625

Therefore, the slope of each line segment is:
AB: 2.5
CD: -1
EF: 0.625
GH: -0.625