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Q
QuestionMathematics

"What is the slope of the line that passes through the points (0,−8) and (0,−10)? Write your answer in simplest form."
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Answer

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Step 1:
Let's solve this step by step:

Step 2:
: Recall the slope formula

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}
The slope of a line can be calculated using the formula:

Step 3:
: Identify the coordinates

- $x_{2} = 0$, $y_{2} = -10$
- Second point: (0, - 10)

Step 4:
: Calculate the slope

m = \frac{-10 - (-8)}{0 - 0}

Step 5:
: Simplify the numerator

m = \frac{-10 + 8}{0}
m = \frac{- 2}{0}

Step 6:
: Recognize the undefined slope

When the denominator is zero and the numerator is non-zero, the slope is undefined. This occurs when the line is vertical.

Final Answer

The slope is undefined.