Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer. the graph has a coordinate plane with a horizontal line passing through (-5, -4) and (1, -4).

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

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

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{-4 - (-4)}{1 - (-5)} \).
Simplify the numerator: \(-4 - (-4)=-4 + 4 = 0\).
Simplify the denominator: \(1 - (-5)=1 + 5 = 6\).
So, \( m=\frac{0}{6}=0 \).

Answer:

\( 0 \)