Question

what is the slope of this line? (2, 5) (2, 2) \\(\frac{3}{2}\\) \\(-\frac{3}{2}\\) 0 undefined submit work it out not feeling ready yet? these can help: rate of change: graphs complete a table from a graph lesson: slope

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

The two points on the line are \((2, 5)\) and \((2, 2)\). So, \( x_1 = 2 \), \( y_1 = 5 \), \( x_2 = 2 \), \( y_2 = 2 \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m = \frac{2 - 5}{2 - 2} = \frac{-3}{0} \). Division by zero is undefined, so the slope of a vertical line (where \( x \)-coordinates are the same) is undefined.

Answer:

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