Find the slope of the line that contains the points (2, 8) and (3, 10).

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on Mar 28, 2025 at 8:16 am



You asked:

Calculate the slope of the line passing through (2,8)\left(2, 8\right) and (3,10)\left(3, 10\right).

MathBot Answer:

slope=2 \text{slope} = 2

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=10−83−2=21=2 \begin{aligned} \text{slope} &= \frac{y_2-y_1}{x_2-x_1} \\ &= \frac{ 10 - 8 }{ 3 - 2 } \\ &= \frac{ 2 }{ 1} \\ &= 2 \end{aligned}

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