Question

find the slope of the line containing the given points. (if an answer is undefined, enter undefined.)

\\(p_1(-6, 5)\\), \\(p_2(-6, 4)\\)

Explanation:

Identify the given points

Using the Coordinate Differences knowledge point

$$ P_1(x_1, y_1) = (-6, 5) \quad \text{and} \quad P_2(x_2, y_2) = (-6, 4) $$

$$ \Delta x = x_2 - x_1 = -6 - (-6) = 0 $$

$$ \Delta y = y_2 - y_1 = 4 - 5 = -1 $$

Calculate the slope

Using the Slope Definition knowledge point

$$ m = \frac{\Delta y}{\Delta x} = \frac{-1}{0} $$

Determine the slope's existence

Division by zero is mathematically undefined. Therefore, the slope of this vertical line is undefined.

Answer:

Find the slope of the line containing the given points. (If an answer is undefined, enter UNDEFINED.)

\(P_1(-6, 5), P_2(-6, 4)\)

<blank>UNDEFINED</blank>