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 points

We have two points: \((x_1, y_1)=(0, 1)\) and \((x_2, y_2)=(7, 5)\).

Step3: Substitute into the formula

Substitute \( x_1 = 0 \), \( y_1 = 1 \), \( x_2 = 7 \), \( y_2 = 5 \) into the slope formula: \( m=\frac{5 - 1}{7 - 0}=\frac{4}{7} \).

Answer:

\(\frac{4}{7}\)