Question

what is the slope of the line? (6,7) (0,5)

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 the points

We have two points: \((x_1, y_1) = (0, 5)\) and \((x_2, y_2) = (6, 7)\).

Step3: Substitute into formula

Substitute \( x_1 = 0 \), \( y_1 = 5 \), \( x_2 = 6 \), \( y_2 = 7 \) into the slope formula:
\( m = \frac{7 - 5}{6 - 0} = \frac{2}{6} = \frac{1}{3} \).

Answer:

\(\frac{1}{3}\)