What is the slope of the line through
\[(-1,8)\] and
\[(3,-4)\]?
You asked:
Calculate the slope of the line passing through \(\left(-1, 8\right)\) and \(\left(3, -4\right)\).
MathBot Answer:
\[ \text{slope} = -3 \]
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: \[ \begin{aligned} \text{slope} &= \frac{y_2-y_1}{x_2-x_1} \\ &= \frac{ -4 - 8 }{ 3 - -1 } \\ &= \frac{ -12 }{ 4} \\ &= -3 \end{aligned} \]