To find the slope of the line through the two data points, we can use the formula for slope:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, we will assign the points as follows:
- At 8 a.m. (which we can consider as \(x_1 = 0\) hours), the temperature is \(y_1 = -2\) °F.
- At 12 p.m. (which is 4 hours after 8 a.m., so \(x_2 = 4\) hours), the temperature is \(y_2 = 4\) °F.
Substituting these values into the slope formula gives:
\[ m = \frac{4 - (-2)}{4 - 0} \] \[ m = \frac{4 + 2}{4} \] \[ m = \frac{6}{4} \] \[ m = \frac{3}{2} \]
Thus, the slope \(m\) is \(1.5\).
Therefore, the slope of the line through these two data points is:
1.5
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