Question

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 choose your answer... : 48 - 24, which is equal to choose your answer... The run is the change in the choose your answer... 4 - 2, which is equal to choose your answer....The rate of change is choose your answer...pounds per month.

Answer 1

To find the slope of the line determined by the points (2, 24) and (4, 48), we can follow these steps:

1. Determine the rise (change in y-coordinates):

   • The rise is: \( 48 - 24 = 24 \).

2. Determine the run (change in x-coordinates):

   • The run is: \( 4 - 2 = 2 \).

3. Calculate the slope (rate of change):

   • The slope (m) is given by the formula: \[ m = \frac{\text{rise}}{\text{run}} = \frac{24}{2} = 12 \].

Putting it all together, we have:

• 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.