Find the slope of the line that contains the points (-5, -5) and (-10, 20).

asked by guest
on Mar 28, 2025 at 8:18 am



You asked:

Calculate the slope of the line passing through (−5,−5)\left(-5, -5\right) and (−10,20)\left(-10, 20\right).

MathBot Answer:

slope=−5 \text{slope} = -5

The slope of the line through the two distinct points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2), where x1≠x2x_1 \ne x_2, is given by the formula: slope=y2−y1x2−x1\text{slope} = \frac{y_2 - y_1}{x_2 - x_1} Therefore: slope=y2−y1x2−x1=20−−5−10−−5=25−5=−5 \begin{aligned} \text{slope} &= \frac{y_2-y_1}{x_2-x_1} \\ &= \frac{ 20 - -5 }{ -10 - -5 } \\ &= \frac{ 25 }{ -5} \\ &= -5 \end{aligned}

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