Question

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: Define slope formula

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

Step2: Pick two data points

Use $(x_1,y_1)=(1,3)$ and $(x_2,y_2)=(2,6)$

Step3: Calculate slope

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

Step4: Interpret the slope

The slope represents the change in feet per yard.

Answer:

The numerical value of the slope is 3. This means that for every 1-yard increase, the number of feet increases by 3 (1 yard equals 3 feet).

For graphing: Plot the points (1, 3), (2, 6), (3, 9) on a coordinate plane with "Number of Yards" on the x-axis and "Number of Feet" on the y-axis, then draw a straight line through them.