Questions: Find the slope of the line passing through the pair of points. (-6,4),(-6,-2) m=8 m=0 undefined m=11

Solution Steps

To find the slope of the line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] If the denominator is zero, the slope is undefined.

We are given two points: \[ (x_1, y_1) = (-6, 4) \] \[ (x_2, y_2) = (-6, -2) \]

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 given points into the formula: \[ m = \frac{-2 - 4}{-6 - (-6)} \] \[ m = \frac{-6}{0} \]

Since the denominator is zero, the slope is undefined.

Final Answer