Question

assignment: semester 1 review (due 1-8)
unit 4 - multiple representations
find the slope (growth) in the table below.

x	-2	1	7	11	20
y	-11	-2	16	28	55

slope = \boxed{}

Explanation:

Step1: Recall slope formula

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

Step2: Pick two table points

Choose $(x_1,y_1)=(-2,-11)$ and $(x_2,y_2)=(1,-2)$

Step3: Substitute values into formula

$m = \frac{-2 - (-11)}{1 - (-2)} = \frac{9}{3} = 3$

Step4: Verify with another pair

Use $(x_1,y_1)=(7,16)$ and $(x_2,y_2)=(11,28)$
$m = \frac{28 - 16}{11 - 7} = \frac{12}{4} = 3$

Answer:

3