QuestionJuly 16, 2025

What is the slope of the line that passes through the points (-5,-9) and (-5,-13) ? Write your answer in simplest form. Answer square

What is the slope of the line that passes through the points (-5,-9) and (-5,-13) ? Write your answer in simplest form. Answer square
What is the slope of the line that passes through the points (-5,-9) and (-5,-13) ? Write
your answer in simplest form.
Answer
square

Solution
4.2(221 votes)

Answer

Undefined Explanation 1. Identify the formula for slope The slope m is calculated using the formula: **m = \frac{y_2 - y_1}{x_2 - x_1}**. 2. Substitute the given points into the formula Given points are (-5,-9) and (-5,-13). Substitute into the formula: m = \frac{-13 - (-9)}{-5 - (-5)}. 3. Simplify the expression Calculate: m = \frac{-13 + 9}{-5 + 5} = \frac{-4}{0}. 4. Determine the slope Since division by zero occurs, the slope is undefined.

Explanation

1. Identify the formula for slope<br /> The slope $m$ is calculated using the formula: **$m = \frac{y_2 - y_1}{x_2 - x_1}$**.<br /><br />2. Substitute the given points into the formula<br /> Given points are $(-5,-9)$ and $(-5,-13)$. Substitute into the formula: $m = \frac{-13 - (-9)}{-5 - (-5)}$.<br /><br />3. Simplify the expression<br /> Calculate: $m = \frac{-13 + 9}{-5 + 5} = \frac{-4}{0}$.<br /><br />4. Determine the slope<br /> Since division by zero occurs, the slope is undefined.
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