the slope of (3,-1) (1,-9)
You asked:
Calculate the slope of the line passing through \(\left(3, -1\right)\) and \(\left(1, -9\right)\).
MathBot Answer:
\[ \text{slope} = 4 \]
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: \[ \begin{aligned} \text{slope} &= \frac{y_2-y_1}{x_2-x_1} \\ &= \frac{ -9 - -1 }{ 1 - 3 } \\ &= \frac{ -8 }{ -2} \\ &= 4 \end{aligned} \]