Answer :
The slope (m) of a line containing two points is computed as follows:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]where (x1, y1) and (x2, y2) are the coordinates of the given points.
In this case, the points are (3, 5) and (-7, 9). Replacing into the formula:
[tex]m\text{ = }\frac{9\text{ - 5}}{-7\text{ - 3}}\text{ = }\frac{4}{-10}[/tex]which can be simplified to -2/5 dividing numerator and denominator by 2.