Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 two points

From the graph, the two points are \((-4, -1)\) and \((0, -1)\). Let \((x_1, y_1)=(-4, -1)\) and \((x_2, y_2)=(0, -1)\).

Step3: Substitute into the slope formula

Substitute \( x_1=-4 \), \( y_1 = - 1 \), \( x_2=0 \), and \( y_2=-1 \) into the formula:
\( m=\frac{-1-(-1)}{0 - (-4)}=\frac{-1 + 1}{0 + 4}=\frac{0}{4} \)

Step4: Simplify the fraction

\(\frac{0}{4}=0\)

Answer:

\( 0 \)