Question

what is the slope of the line that passes through the points (7, -4) and (11, -4)? write your answer in simplest form.

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, \( x_1 = 7 \), \( y_1=-4 \), \( x_2 = 11 \), \( y_2=-4 \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{-4 - (-4)}{11 - 7} \).

Step4: Simplify numerator and denominator

Simplify the numerator: \( -4 - (-4)=-4 + 4 = 0 \).
Simplify the denominator: \( 11 - 7 = 4 \).
So, \( m=\frac{0}{4}=0 \).

Answer:

\( 0 \)