Question

question
what is the slope of the line that passes through the points (-2, -4) and (3, -9)? write your answer in simplest form.
answer attempt 1 out of 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

Here, \( (x_1, y_1)=(-2, -4) \) and \( (x_2, y_2)=(3, -9) \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{-9 - (-4)}{3 - (-2)} \).
Simplify the numerator and denominator: \( -9 - (-4)=-9 + 4=-5 \) and \( 3 - (-2)=3 + 2 = 5 \).
So, \( m=\frac{-5}{5}=-1 \).

Answer:

\(-1\)