Question

question 2 of 10
what is the slope of the line that contains the points (-2, 2) and (3, 4)?

a. $-\frac{2}{5}$

b. $\frac{2}{5}$

c. $-\frac{5}{2}$

d. $\frac{5}{2}$

Explanation:

Step1: Recall the 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 coordinates

Let \( (x_1, y_1)=(-2, 2) \) and \( (x_2, y_2)=(3, 4) \).

Step3: Substitute into the slope formula

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

Answer:

B. \(\frac{2}{5}\)