1Cademy - Finding the Slope of the Line Between $$(-2, 6)$$ and $$(-3, -4)$$

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Slope Formula

Example

Finding the Slope of the Line Between $(-2, 6)$ and $(-3, -4)$

To calculate the slope of the line connecting the points $(-2, 6)$ and $(-3, -4)$ , we apply the slope formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ . Let the first point $(x_1, y_1)$ be $(-2, 6)$ and the second point $(x_2, y_2)$ be $(-3, -4)$ . Substituting these coordinates into the formula yields $m = \frac{-4 - 6}{-3 - (-2)}$ . The numerator evaluates to $-10$ . For the denominator, subtracting $-2$ is equivalent to adding $2$ , which gives $-3 + 2 = -1$ . Dividing the numerator by the denominator, we get $m = \frac{-10}{-1}$ . This fraction simplifies to a positive slope of $m = 10$ .