Question

Find the slope of the line represented by the data below

Answer 1

Answer:

Slope = -4

Step-by-step 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 = $\frac{-4}{1}$

∴ m = -4

∵ m is the slope of the line

∴ The slope of the line is -4