Question

find the slope of the line that passes through: (-12, -5) and (0, -8) a. -4 b. -1/4 c. 1/4 d. 4

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is \( m = \frac{y_2 - y_1}{x_2 - x_1} \).
Here, \( (x_1, y_1) = (-12, -5) \) and \( (x_2, y_2) = (0, -8) \).

Step2: Substitute values

Substitute into the formula: \( m = \frac{-8 - (-5)}{0 - (-12)} \).
Simplify numerator: \( -8 - (-5) = -8 + 5 = -3 \).
Simplify denominator: \( 0 - (-12) = 0 + 12 = 12 \).

Step3: Calculate slope

Now, \( m = \frac{-3}{12} = -\frac{1}{4} \).

Answer:

B. -1/4