Answer :
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:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\Rightarrow m=\frac{10-2}{5-3}\Rightarrow m=\frac{8}{2}\Rightarrow m=4[/tex]Then, the slope of the line that passes through the points (3, 2) and (5, 10) is m = 4.