Question

1. what is the slope of the line that passes through (2, 2) and (5, 4)?

f. $\frac{3}{2}$
g. $\frac{2}{3}$
h. $\frac{3}{2}$
j. $\frac{2}{3}$

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 \( (x_1, y_1) = (2, 2) \) and \( (x_2, y_2) = (5, 4) \).

Step3: Substitute into formula

Substitute values: \( m = \frac{4 - 2}{5 - 2} = \frac{2}{3} \).

Answer:

J. \(\frac{2}{3}\)