the slope of (19,-16) (-7,-15)
You asked:
Calculate the slope of the line passing through \(\left(19, -16\right)\) and \(\left(-7, -15\right)\).
MathBot Answer:
\[ \text{slope} = - \frac{1}{26} \]
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: \[ \begin{aligned} \text{slope} &= \frac{y_2-y_1}{x_2-x_1} \\ &= \frac{ -15 - -16 }{ -7 - 19 } \\ &= \frac{ 1 }{ -26} \\ &= - \frac{1}{26} \end{aligned} \]