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QUESTION IMAGE

a linear relationship is given in the table. | x | y | | ---- | ---- | …

Question

a linear relationship is given in the table.

xy
45
01
-2-1

what is the slope of the relationship?

  • 3
  • 2
  • 1
  • -1

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Pick two table points

Use $(x_1,y_1)=(6,7)$ and $(x_2,y_2)=(4,5)$

Step3: Substitute into slope formula

$m = \frac{5 - 7}{4 - 6} = \frac{-2}{-2}$

Step4: Simplify the expression

$m = 1$

Answer:

1