Question

zero slope

1. what is an equation of the line that passes through th

points $(3,8)$ and $(3,4)$?
$\frac{\triangle y}{\triangle x}=\frac{8 - 4}{3 - 3}=\frac{4}{0}=$

Explanation:

Step1: Calculate the slope

The formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Given \((x_1,y_1)=(3,8)\) and \((x_2,y_2)=(3,4)\), then \(m=\frac{4 - 8}{3 - 3}=\frac{-4}{0}\), which is undefined. This indicates a vertical line.

Step2: Determine the equation of the vertical line

For a vertical line passing through the point \((a,b)\), the equation is \(x = a\). Since both points have \(x - \)coordinate \(3\), the equation of the line is \(x=3\).

Answer:

\(x = 3\)