Question

1. graph the data. find the numerical value of the slope and interpret it in words. (example 2)

number of yards 1 2 3
number of feet 3 6 9

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $x$ be the number of yards and $y$ be the number of feet. Take two points, say $(1,3)$ and $(2,6)$.

Step2: Substitute values into formula

$m=\frac{6 - 3}{2 - 1}=\frac{3}{1}=3$.

Step3: Interpret the slope

The slope of 3 means that for every 1 - yard increase in the number of yards, the number of feet increases by 3.

Answer:

The numerical value of the slope is 3. It means that for each additional yard, the number of feet increases by 3.