Question

what is the slope of this line?
(4, 4)
(4, 1)
options: 3/4, -3/4, 0, undefined

Explanation:

Step1: Recall slope formula

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

Step2: Identify coordinates

Here, \((x_1, y_1)=(4, 1)\) and \((x_2, y_2)=(4, 4)\).

Step3: Substitute into formula

Substitute into the slope formula: \( m=\frac{4 - 1}{4 - 4}=\frac{3}{0} \). Division by zero is undefined, so the slope is undefined.

Answer:

undefined