Question

what is the slope of the line that passes through the points (1, 6) and (1, 31)? write your answer in simplest form.

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through 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

Here, $x_1 = 1,y_1=6,x_2 = 1,y_2 = 31$.

Step3: Substitute into formula

$m=\frac{31 - 6}{1 - 1}=\frac{25}{0}$.
Since division by zero is undefined, the slope of the line is undefined.

Answer:

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