Question

what is the slope of the line that passes through the points (7, -5) and (16, 7)? write your answer in simplest form.
answer attempt 1 out of 2

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 coordinates

Let \( (x_1, y_1)=(7, - 5) \) and \( (x_2, y_2)=(16, 7) \).

Step3: Substitute into formula

Substitute values: \( m=\frac{7-(-5)}{16 - 7}=\frac{7 + 5}{9}=\frac{12}{9} \).

Step4: Simplify fraction

Simplify \( \frac{12}{9}=\frac{4}{3} \).

Answer:

\(\frac{4}{3}\)