Question

what is the slope of this line?
(-2, 6)
(2, -2)
-2
$-\frac{1}{2}$
0
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Explanation:

Step1: Recall 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 points

We have two points: \((-2, 6)\) (so \( x_1 = -2, y_1 = 6 \)) and \((2, -2)\) (so \( x_2 = 2, y_2 = -2 \)).

Step3: Substitute into the formula

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

Step4: Simplify the numerator and denominator

First, simplify the numerator: \( -2 - 6 = -8 \). Then, simplify the denominator: \( 2 - (-2) = 2 + 2 = 4 \). So now we have \( m = \frac{-8}{4} \).

Step5: Calculate the slope

Simplify \( \frac{-8}{4} = -2 \).

Answer:

-2