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 slope formula

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

Step2: Identify points

Let \((x_1, y_1)=(-1, 2)\) and \((x_2, y_2)=(4, 2)\).

Step3: Substitute into formula

Substitute \( y_2 = 2 \), \( y_1 = 2 \), \( x_2 = 4 \), \( x_1=-1 \) into the slope formula:
\( m=\frac{2 - 2}{4 - (-1)}=\frac{0}{5}=0 \).

Answer:

\( 0 \)