Find the slope of the line or rise

Question

✓

over run

using the points (2, 24) and (4, 48)

• The rise is the change in the y-values

48 - 24 which is equal to 24

• The run is the change in the

x-values

4 - underline 2, which is equal to 2

The rate of change is

*blank*

✓ pounds per month

A 12
B 1/12
C -12
D -1/12

Answer 1

To find the slope of the line using the points (2, 24) and (4, 48), we use the formula for slope, which is:

\[ \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1} \]

Where \( (x_1, y_1) = (2, 24) \) and \( (x_2, y_2) = (4, 48) \).

1. Calculate the rise (change in y-values): \[ \text{Rise} = y_2 - y_1 = 48 - 24 = 24 \]

2. Calculate the run (change in x-values): \[ \text{Run} = x_2 - x_1 = 4 - 2 = 2 \]

3. Calculate the slope: \[ \text{slope} = \frac{\text{Rise}}{\text{Run}} = \frac{24}{2} = 12 \]

Thus, the rate of change is 12 pounds per month. The correct answer is:

A 12