what is the slope of this line? (-2,6) (2,-2)

Explanation:

Step1: Identify the formula for slope

The formula for 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: Assign values to (x_1,y_1,x_2,y_2)

Let ((x_1,y_1)=(-2,6)) and ((x_2,y_2)=(2,-2)).

Step3: Substitute values into the formula

[ \begin{align*} m&=\frac{-2 - 6}{2-(-2)}\ &=\frac{-8}{2 + 2}\ &=\frac{-8}{4}\ &=- 2 \end{align*} ]

Answer:

(-2)