To find the slope of the line using the points (2, 24) and (4, 48), we'll follow these steps:
-
Calculate the rise:
The rise is the change in the y-coordinates.
\( 48 - 24 = 24 \)
So, the rise is 24. -
Calculate the run:
The run is the change in the x-coordinates.
\( 4 - 2 = 2 \)
So, the run is 2. -
Calculate the slope (rate of change):
The slope (m) is given by the formula:
\( m = \frac{\text{rise}}{\text{run}} \)
Therefore,
\( m = \frac{24}{2} = 12 \)
Putting it all together:
- The rise is the change in the y-coordinates: 48 - 24, which is equal to 24.
- The run is the change in the x-coordinates: 4 - 2, which is equal to 2.
- The rate of change (slope) is 12 pounds per month.
So, the complete text would be:
Find the slope of the line or choose your answer... over choose your answer... using the points (2, 24) and (4, 48). The rise is the change in the y-coordinates: 48 - 24, which is equal to 24. The run is the change in the x-coordinates: 4 - 2, which is equal to 2. The rate of change is 12 pounds per month.