Find the slope of the line joining two points $\left(3,4\right)$ and $\left(5,2\right)$
You asked:
Calculate the slope of the line passing through \(\left(3, 4\right)\) and \(\left(5, 2\right)\).
MathBot Answer:
\[ \text{slope} = -1 \]
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: \[ \begin{aligned} \text{slope} &= \frac{y_2-y_1}{x_2-x_1} \\ &= \frac{ 2 - 4 }{ 5 - 3 } \\ &= \frac{ -2 }{ 2} \\ &= -1 \end{aligned} \]