Question

Find the slope of the line passing through the points:

$$\mathrm{A}(2, 5)$$ and $$\mathrm{B}(-4, -4)$$

Answer 1

The slope of a line passing through points $$(x_1, y_1)$$ and $$(x_2, y_2)$$ is given by: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$

For $$\mathrm{A}(2, 5)$$ and $$\mathrm{B}(-4, -4)$$:

$$m = \frac{-4 - 5}{-4 - 2}$$

$$= \frac{-9}{-6}$$

$$= \frac{3}{2}$$