Question

question 9 of 25
what is the slope of the line that contains the points (-1, 8) and
(5, -4)?

a. 2
b. -2
c. \\(\frac{1}{2}\\)
d. \\(-\frac{1}{2}\\)

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, \( x_1=-1 \), \( y_1 = 8 \), \( x_2 = 5 \), \( y_2=-4 \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{-4 - 8}{5 - (-1)}=\frac{-12}{6}=-2 \).

Answer:

B. -2