Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 points

Let \((x_1, y_1) = (5, 0)\) and \((x_2, y_2) = (10, 25)\).

Step3: Substitute into formula

\( m = \frac{25 - 0}{10 - 5} = \frac{25}{5} \).

Step4: Simplify

\( \frac{25}{5} = 5 \).

Answer:

5