gradient of the line (-3, 6) and (1, 4)
You asked:
Calculate the slope of the line passing through \(\left(-3, 6\right)\) and \(\left(1, 4\right)\).
MathBot Answer:
\[ \text{slope} = - \frac{1}{2} \]
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: \[ \begin{aligned} \text{slope} &= \frac{y_2-y_1}{x_2-x_1} \\ &= \frac{ 4 - 6 }{ 1 - -3 } \\ &= \frac{ -2 }{ 4} \\ &= - \frac{1}{2} \end{aligned} \]