Find the slope of the line that contains the points (-2, 0) and (-17, -5).
You asked:
Calculate the slope of the line passing through \(\left(-2, 0\right)\) and \(\left(-17, -5\right)\).
MathBot Answer:
\[ \text{slope} = \frac{1}{3} \]
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: \[ \begin{aligned} \text{slope} &= \frac{y_2-y_1}{x_2-x_1} \\ &= \frac{ -5 - 0 }{ -17 - -2 } \\ &= \frac{ -5 }{ -15} \\ &= \frac{1}{3} \end{aligned} \]