Calculate the value of the slope of a line that passes through the points: d) (2 ; 3) and (-2 ; -3)

Solution:
1. Formula for the slope (m) of a line passing through two points (x_1, y_1) and (x_2, y_2) is:
m = \frac{y_2 - y_1}{x_2 - x_1}
2. Substitute the given points (2, 3) and (-2, -3) into the formula:
* x_1 = 2, y_1 = 3
* x_2 = -2, y_2 = -3
3. Calculate:
m = \frac{-3 - 3}{-2 - 2} = \frac{-6}{-4} = \frac{3}{2}
4. Therefore, the slope of the line is \frac{3}{2}.