Question

what is the slope of this line?
(2, 4)
(6, 6)
options: \\(\frac{1}{2}\\), \\(-\frac{1}{2}\\), 0, undefined

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify two points

We have points \((2, 4)\) and \((6, 6)\). Let \((x_1, y_1)=(2, 4)\) and \((x_2, y_2)=(6, 6)\).

Step3: Calculate slope

Substitute into the formula: \( m=\frac{6 - 4}{6 - 2}=\frac{2}{4}=\frac{1}{2} \).

Answer:

\(\frac{1}{2}\)