Question

what is the slope of this line? the coordinate grid has a line passing through (-1, 6) and (1, 0).

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

We have two points: \( (-1, 6) \) (so \( x_1=-1, y_1 = 6 \)) and \( (1, 0) \) (so \( x_2 = 1, y_2=0 \)).

Step3: Substitute into formula

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

Answer:

\(-3\)