Question

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

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: \( (0, 1) \) (so \( x_1 = 0, y_1 = 1 \)) and \( (7, 5) \) (so \( x_2 = 7, y_2 = 5 \)).

Step3: Calculate the slope

Substitute into the formula: \( m=\frac{5 - 1}{7 - 0}=\frac{4}{7} \).

Answer:

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