Question

question 2-3
what is the slope of the line that goes through points (2,7) and (5,13)?

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 coordinates

Here, \( x_1 = 2 \), \( y_1 = 7 \), \( x_2 = 5 \), \( y_2 = 13 \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{13 - 7}{5 - 2}=\frac{6}{3} \).

Step4: Simplify

Simplify \( \frac{6}{3} \) to get \( 2 \).

Answer:

2