Question

select the correct answer.
what is the slope of the line that goes through (-5,-5) and (5,-7)?
a. $-\frac{1}{5}$
b. 0
c. $\frac{1}{5}$
d. undefined

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 \((x_1, y_1)=(-5, -5)\) and \((x_2, y_2)=(5, -7)\).

Step3: Substitute into formula

Substitute into the slope formula: \( m=\frac{-7 - (-5)}{5 - (-5)} \).
Simplify numerator and denominator: \( m=\frac{-7 + 5}{5 + 5}=\frac{-2}{10} \).
Simplify the fraction: \( m = -\frac{1}{5} \).

Answer:

A. \( -\frac{1}{5} \)