Question

try another one. line n goes through points a and b. what is the slope of line n? solve on paper, then enter your answer on zearn. point a : (5, 4) point b : (15, 12) the slope of line n is 1.

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

For points \( A(5, 4) \) and \( B(15, 12) \), \( x_1 = 5 \), \( y_1 = 4 \), \( x_2 = 15 \), \( y_2 = 12 \).

Step3: Substitute into formula

\( m = \frac{12 - 4}{15 - 5} = \frac{8}{10} = \frac{4}{5} \).

Answer:

\(\frac{4}{5}\)