Find the slope of the line that contains the points (-6, -9) and (-10, -8).
You asked:
Calculate the slope of the line passing through \(\left(-6, -9\right)\) and \(\left(-10, -8\right)\).
MathBot Answer:
\[ \text{slope} = - \frac{1}{4} \]
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: \[ \begin{aligned} \text{slope} &= \frac{y_2-y_1}{x_2-x_1} \\ &= \frac{ -8 - -9 }{ -10 - -6 } \\ &= \frac{ 1 }{ -4} \\ &= - \frac{1}{4} \end{aligned} \]