Find the slope of the line that passes through (10, 8) and (2, 1).
You asked:
Calculate the slope of the line passing through \(\left(10, 8\right)\) and \(\left(2, 1\right)\).
MathBot Answer:
\[ \text{slope} = \frac{7}{8} \]
The slope of the line through the two distinct points \((x_1, y_1)\) and \((x_2, y_2)\), where \(x_1 \ne x_2\), is given by the formula: \[\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}\] Therefore: \[ \begin{aligned} \text{slope} &= \frac{y_2-y_1}{x_2-x_1} \\ &= \frac{ 1 - 8 }{ 2 - 10 } \\ &= \frac{ -7 }{ -8} \\ &= \frac{7}{8} \end{aligned} \]