Question

a linear relationship is given in the table.

x	-2	-1	0	1	2
y	-12	-7	-2	3	8

what is the slope of the relationship?
5
-5
\\(\frac{1}{5}\\)
\\(-\frac{1}{5}\\)

Explanation:

Step1: Recall slope formula

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

Step2: Pick two coordinate pairs

Choose $(x_1,y_1)=(0,-2)$ and $(x_2,y_2)=(1,3)$

Step3: Substitute into formula

$m = \frac{3 - (-2)}{1 - 0} = \frac{5}{1}$

Step4: Calculate the slope

$m = 5$

Answer:

5