Question

question 4 of 10
what is the slope of the line that contains the points (4, -1) and (-1, 4)?

a. -5
b. 1
c. -1
d. 5

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

Let \( (x_1, y_1)=(4, - 1) \) and \( (x_2, y_2)=(-1, 4) \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{4-(-1)}{-1 - 4}=\frac{4 + 1}{-5}=\frac{5}{-5}=-1 \).

Answer:

C. -1