Question

find the slope of the line that passes through the given points.
(0, 4) and (0, -6)
the slope of the line, m, is .
undefined \frac{□}{□}

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

Here, \( x_1 = 0 \), \( y_1 = 4 \), \( x_2 = 0 \), \( y_2 = -6 \).

Step3: Substitute into formula

Substitute into the slope formula: \( m = \frac{-6 - 4}{0 - 0} = \frac{-10}{0} \).
Division by zero is undefined, so the slope is undefined.

Answer:

Undefined