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

Solution Steps

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

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

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

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

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

Calculate the differences:

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

Final Answer