Question

10/21
what is the slope of the table?

x	y
1	2
3	3
5	4
7	5

options: $\frac{1}{2}$, $\frac{2}{1}$, $-\frac{1}{2}$, $-\frac{2}{1}$

Explanation:

Step1: Recall slope formula

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

Step2: Pick two table points

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

Step3: Substitute into slope formula

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

Step4: Verify with another pair

Use $(x_1,y_1)=(3,3)$ and $(x_2,y_2)=(5,4)$: $m = \frac{4 - 3}{5 - 3} = \frac{1}{2}$

Answer:

1/2