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the table of values shows a linear relationship between x and y. | x | …

Question

the table of values shows a linear relationship between x and y.

xy
-79
-21
3-7
8-15

what is the slope of the line represented by the table of values?
a -8/5
b -5/8
c 8/5
d 5/8

Explanation:

Step1: Select two points

Let's take $(-7,9)$ and $(-2,1)$.

Step2: Apply slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-7,y_1 = 9,x_2=-2,y_2 = 1$. Then $m=\frac{1 - 9}{-2-(-7)}=\frac{-8}{-2 + 7}=\frac{-8}{5}$.

Answer:

A. $-\frac{8}{5}$