Question

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

Explanation:

Step1: Recall slope formula

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

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

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

Step4: Simplify to get slope

$m = 1$

Answer:

1