Slope of CB × Slope of FE = 1 × (-1) = -1 [opposite and reciprocal slopes].
What is the Slope of a Line?
Slope of a line = vertical distance along the line / horizontal distance across the line = change in y / change in x.
What are Opposite and Reciprocal Slopes?
If a line has a slope of -3, the opposite and reciprocal of -3 is 1/3. Thus, if two slopes are opposite and reciprocals, when multiplied together, we would get -1.
For example, -3 × 1/3 = -1.
Find the slope of CB:
Slope of CB = change in y/change in x = (2 - 5)/(1 - 4)
Slope of CB = (-3)/(-3)
Slope of CB = 1
Find the Slope of FE:
Slope of FE = change in y/change in x = (-1 -(-4))/(2 - 5)
Slope of FE = (3)/(-3)
Slope of FE = -1
Slope of CB × Slope of FE = 1 × (-1) = -1 [opposite and reciprocal slopes].
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