Question

the points represented by the table lie on a line.

x	- 9	- 5	- 1	3
y	- 2	0	2	4

what is the slope of the line?
-2
-\frac{1}{2}
\frac{1}{2}
2
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Explanation:

Step1: Select two points

Let's take $(-9,-2)$ and $(-5,0)$.

Step2: Use slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-9,y_1 = - 2,x_2=-5,y_2 = 0$. Then $m=\frac{0-(-2)}{-5-(-9)}$.

Step3: Simplify the expression

$m=\frac{0 + 2}{-5 + 9}=\frac{2}{4}=\frac{1}{2}$.

Answer:

C. $\frac{1}{2}$