To find the slope of the line that passes through the points (-2, 3) and (2, 6), we can use the slope formula:
\[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, we can designate the points as follows:
- Point 1 \((x_1, y_1) = (-2, 3)\)
- Point 2 \((x_2, y_2) = (2, 6)\)
Now we can plug in the coordinates into the formula:
\[ m = \frac{6 - 3}{2 - (-2)} \] \[ m = \frac{3}{2 + 2} \] \[ m = \frac{3}{4} \]
Thus, the slope of the line is \(\frac{3}{4}\).