Question

what is the slope of this line? the coordinate grid has a blue vertical line passing through (2, 5) and (2, 2). the options are \\(\frac{3}{2}\\), \\(-\frac{3}{2}\\), 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 points

Given points \((2, 5)\) and \((2, 2)\), so \( x_1 = 2, y_1 = 5, x_2 = 2, y_2 = 2 \).

Step3: Substitute into formula

Substitute into \( m=\frac{y_2 - y_1}{x_2 - x_1} \), we get \( m=\frac{2 - 5}{2 - 2}=\frac{-3}{0} \). Division by zero is undefined, so the slope is undefined.

Answer:

undefined