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 given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

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: Substitute into the formula

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

Step4: Simplify the expression

Simplify the numerator and denominator: \( \frac{4}{7} \).

Answer:

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