Question

Find the slope of the line passing through the points: 

$$\mathrm{A}(0, -3)$$ 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 $$\mathrm{A}(0, -3)$$ and $$\mathrm{B}(2, 1)$$:

$$m = \frac{1 - (-3)}{2 - 0}$$

$$= \frac{1 + 3}{2}$$

$$= \frac{4}{2}$$

$$= 2$$