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 the two points

We have points \((3, 3)\) and \((4, 6)\). Let \((x_1, y_1) = (3, 3)\) and \((x_2, y_2) = (4, 6)\).

Step3: Calculate the slope

Substitute into the formula: \( m = \frac{6 - 3}{4 - 3} = \frac{3}{1} = 3 \).

Answer:

3