Question

find the slope of the line through the points (5, 1) and (5, 3).
2
5
0
undefined

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, \( x_1 = 5 \), \( y_1 = 1 \), \( x_2 = 5 \), \( y_2 = 3 \).

Step3: Substitute into formula

Substitute into the slope formula: \( m=\frac{3 - 1}{5 - 5}=\frac{2}{0} \). Division by zero is undefined, so the slope is undefined.

Answer:

Undefined (the option with "Undefined" text)