Question

what is the slope of this line?
(-3, 3)
(-3, 1)
-8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8
-1
-2
-3
-4
-5
-6
-7
-8
\\(\frac{2}{3}\\)
\\(-\frac{2}{3}\\)
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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

The two points are \((-3, 3)\) and \((-3, 1)\). So \( x_1=-3, y_1 = 3, x_2=-3, y_2 = 1 \).

Step3: Substitute into formula

Substitute into the slope formula: \( m=\frac{1 - 3}{-3 - (-3)}=\frac{-2}{0} \). Division by zero is undefined, and a vertical line (where \( x \)-coordinates are equal) has an undefined slope.

Answer:

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