1Cademy - Finding the Slope of the Line Between $$(-3, 4)$$ and $$(2, -1)$$

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Slope Formula

Example

Finding the Slope of the Line Between $(-3, 4)$ and $(2, -1)$

To determine the slope of a line passing through the points $(-3, 4)$ and $(2, -1)$ , we use the slope formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ . We can assign the first point $(x_1, y_1)$ to $(-3, 4)$ and the second point $(x_2, y_2)$ to $(2, -1)$ . By substituting these coordinate values into the formula, we obtain $m = \frac{-1 - 4}{2 - (-3)}$ . The numerator simplifies to $-5$ . In the denominator, subtracting $-3$ is the same as adding $3$ , so it evaluates to $2 + 3 = 5$ . Dividing these two results yields $m = \frac{-5}{5}$ , which simplifies to a final slope of $m = -1$ .

Updated 2026-05-03

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OpenStax Intermediate Algebra

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