Question

1. what is the rate of change (slope) for this graph?

Explanation:

Step1: Select two points on the line

Let's take the points (0, 4) and (10, 1).

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 4,x_2=10,y_2 = 1$. So $m=\frac{1 - 4}{10 - 0}$.

Step3: Calculate the slope

$m=\frac{1 - 4}{10 - 0}=\frac{- 3}{10}=-0.3$.

Answer:

$-0.3$