Question

the points in this table lie on a line. find the slope of this line
x 0 1 2 3
y -1 0 1 2
slope:

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.

Step2: Pick two points from table

Choose $(x_1,y_1)=(0,-1)$ and $(x_2,y_2)=(1,0)$.

Step3: Substitute into slope formula

$m=\frac{0-(-1)}{1-0}=\frac{1}{1}=1$

Answer:

1