Question

what is the slope of the line that passes through the points (9, 2) and (9, 27)? write your answer in simplest form.

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 coordinates

Here, \( x_1 = 9 \), \( y_1 = 2 \), \( x_2 = 9 \), \( y_2 = 27 \).

Step3: Substitute into formula

Substitute into the slope formula: \( m=\frac{27 - 2}{9 - 9}=\frac{25}{0} \). Division by zero is undefined, so the slope is undefined.

Answer:

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