Question

the table below represents a linear function. identify the slope of the function.

x	y
-3	-9
1	7
5	23
9	39

Explanation:

Step1: Recall slope formula

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

Step2: Pick two coordinate pairs

Choose $(x_1,y_1)=(-3,-9)$ and $(x_2,y_2)=(1,7)$

Step3: Substitute into slope formula

$m = \frac{7 - (-9)}{1 - (-3)} = \frac{16}{4}$

Step4: Simplify the fraction

$m = 4$
(Verify with other pairs: $\frac{23-7}{5-1}=\frac{16}{4}=4$, $\frac{39-23}{9-5}=\frac{16}{4}=4$, consistent)

Answer:

4