Question

Find the slope of the line passing through the points: 

$$\mathrm{A}(-2, 1)$$ and $$\mathrm{B}(3, -4)$$

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 $$\mathrm{A}(-2, 1)$$ and $$\mathrm{B}(3, -4)$$:

$$m = \frac{-4 - 1}{3 - (-2)}$$

$$= \frac{-5}{3 + 2}$$

$$= \frac{-5}{5}$$

$$= -1$$