The slope, m, of the line that passes through the points (x1, y1) and (x2, y2) is calculated as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Substituting with points (3,2) and (-5,4), we get:
[tex]m=\frac{4-2}{-5-3}=\frac{2}{-8}=-\frac{1}{4}[/tex]The slope is -1/4