Question

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

x	y
-7	9
-2	1
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: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points from the table, say $(x_1,y_1)=(-7,9)$ and $(x_2,y_2)=(-2,1)$.

Step2: Substitute values into formula

$m=\frac{1 - 9}{-2-(-7)}=\frac{-8}{-2 + 7}=\frac{-8}{5}=-\frac{8}{5}$.

Answer:

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