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Find the slope of the line represented by the data below

Find the slope of the line represented by the data below-example-1

1 Answer

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Answer:

Slope = -4

Explanation:

Let us solve the question

∵ The slope of the line is m = Δy/Δx

∵ Δy is the change of y ⇒ Δy = y2 - y1

∵ Δx is the change of x ⇒ Δx = x2 - x1

→ Choose from the table x1, y1 and x2, y2

x1 = -3 and y1 = 12

x2 = -2 and y2 = 8

→ Use them to find Δx and Δy

∵ Δx = -2 - (-3) = -2 + 3 = 1

Δx = 1

∵ Δy = 8 - 12 = -4

Δy = -4

→ Use them to find the slope

∵ m = Δy/Δx

∴ m =
(-4)/(1)

m = -4

∵ m is the slope of the line

The slope of the line is -4

User Raheel
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