To find the slope of the line that passes through the points, we have to proceed as follows:
1. Identify the points:
(3, 2) --> x1 = 3, y1 = 2
(5, 10) --> x2 = 5, y2 = 10
2. Apply the equation for the slope of a line:
![m=(y_2-y_1)/(x_2-x_1)\Rightarrow m=(10-2)/(5-3)\Rightarrow m=(8)/(2)\Rightarrow m=4](https://img.qammunity.org/2023/formulas/mathematics/college/he5rpfep4c8rj2ikfpbr2usai7dswsha1b.png)
Then, the slope of the line that passes through the points (3, 2) and (5, 10) is m = 4.