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 two points

We have points \((-3, 4)\) and \((0, 5)\). Let \((x_1, y_1)=(-3, 4)\) and \((x_2, y_2)=(0, 5)\).

Step3: Calculate slope

Substitute into the formula: \( m=\frac{5 - 4}{0 - (-3)}=\frac{1}{3} \).

Answer:

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