Final answer:
The slope of the line passing through points P(5, 7) and Q(-2, -3) is 10/7, which is obtained by dividing the change in y (-10) by the change in x (-7).
Step-by-step explanation:
The slope of the line passing through the points P(5, 7) and Q(-2, -3) can be found using the slope formula, which is (change in y) / (change in x). So, we calculate the slope as follows:
- Change in y (y2 - y1) = -3 - 7 = -10
- Change in x (x2 - x1) = -2 - 5 = -7
- Slope (m) = Change in y / Change in x = -10 / -7
Therefore, the slope of the line is 10/7. When expressed as a fraction, the negative signs cancel out, leaving a positive slope.