slope of A(2,5) and B(10,8)
You asked:
Calculate the slope of the line passing through \(\left(2, 5\right)\) and \(\left(10, 8\right)\).
MathBot Answer:
\[ \text{slope} = \frac{3}{8} \]
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: \[ \begin{aligned} \text{slope} &= \frac{y_2-y_1}{x_2-x_1} \\ &= \frac{ 8 - 5 }{ 10 - 2 } \\ &= \frac{ 3 }{ 8} \\ &= \frac{3}{8} \end{aligned} \]