Question

a proportional relationship is shown in the table below:
$x$ 0 0.3 0.6 0.9 1.2
$y$ 0 1 2 3 4
what is the slope of the line that represents this relationship?

Explanation:

Step1: Recall slope formula

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

Step2: Pick two table points

Use $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(0.3,1)$

Step3: Substitute into slope formula

$m = \frac{1 - 0}{0.3 - 0} = \frac{1}{0.3} = \frac{10}{3}$

Answer:

$\frac{10}{3}$