Question

Find the slope of the line passing through the points:

$$\mathrm{A}(4, -9)$$ and $$\mathrm{B}(-2, -1)$$

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 $$\mathrm{A}(4, -9)$$ and $$\mathrm{B}(-2, -1)$$:

$$m = \frac{-1 - (-9)}{-2 - 4}$$

$$= \frac{-1 + 9}{-6}$$

$$= \frac{8}{-6}$$

$$= -\frac{4}{3}$$