5/2 is slope of the line that passes through the points (4,2) and (6,7).
-30 is slope of the line that passes through the points (12, -18), (11, 12).
case 1 : slope of the line that passes through the points (4,2) and (6,7)
Subtract the y's: 7 - 2 = 5
Subtract the x's in the same order: 6 - 4 = 2
slope = (difference in y)/(difference in x) = 5/2
Hence, 5/2 is the slope of the line that passes through the points (4,2) and (6,7).
case 2: slope of the line that passes through the points (12, -18), (11, 12).
Subtract the y's: 12 - (-18) = 30
Subtract the x's in the same order: 11-12 = -1
slope = (difference in y)/(difference in x) = 30/-1 = 30
Hence, -30 is slope of the line that passes through the points (12, -18), (11, 12).
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