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 the two points

We have the points \((-1, 6)\) and \((1, 0)\). Let \((x_1, y_1)=(-1, 6)\) and \((x_2, y_2)=(1, 0)\).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{0 - 6}{1 - (-1)}=\frac{-6}{2}=-3 \).

Answer:

\(-3\)