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Slope equation

CONCEPTS

Slope Equation

• m = rise / run = (y₂ – y₁) / (x₂ – x₁) (m = slope, points are (x₁, y₁) & (x₂, y₂))

PRACTICE PROBLEMS

Question 1 What is the slope created by the line between the 2 points (3, 2) & (1, 5)?


-- Answer -- 3/2

m = (5 - 2) / (1 - 3) = 3 / -2 = -3/2



Question 2 What is the slope of the line by connecting points B and D (see figure below)?


-- Answer -- 1/2

Slope = (14 - 12) / (7 - 3) = 2/4 = ½



Question 3 In the figure below, is the slope positive or negative?


-- Answer -- negative

The slope is negative because the angle of the line is pointing downwards (the numerator in the slope equation will be negative)

ACT PRACTICE PROBLEMS

72c

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