find the slope for (0,2)(6,6)
You asked:
Calculate the slope of the line passing through \(\left(0, 2\right)\) and \(\left(6, 6\right)\).
MathBot Answer:
\[ \text{slope} = \frac{2}{3} \]
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: \[ \begin{aligned} \text{slope} &= \frac{y_2-y_1}{x_2-x_1} \\ &= \frac{ 6 - 2 }{ 6 - 0 } \\ &= \frac{ 4 }{ 6} \\ &= \frac{2}{3} \end{aligned} \]