Questions: Find the slope, if it exists, of the line containing the pair of points (7,5) and (-2,5).

Find the slope, if it exists, of the line containing the pair of points (7,5) and (-2,5).
Transcript text: Find the slope, if it exists, of the line containing the pair of points $(7,5)$ and $(-2,5)$.
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Solution

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Solution Steps

Step 1: Identify the Given Points

We are given two points: \( (7, 5) \) and \( (-2, 5) \).

Step 2: Apply the Slope Formula

The formula for the slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Step 3: Substitute the Coordinates into the Formula

Substitute the coordinates of the given points into the slope formula:

\[ m = \frac{5 - 5}{-2 - 7} \]

Step 4: Simplify the Expression

Calculate the differences:

\[ m = \frac{0}{-9} = 0 \]

Final Answer

\(\boxed{0}\)

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