Question

what is an equation of the line that passes through the points (3, 5) and (3, -8)?

Explanation:

Step1: Analyze x - coordinates

Both points \((3,5)\) and \((3, - 8)\) have the same \(x\) - coordinate (\(x = 3\)).

Step2: Determine the line type

A line with the same \(x\) - coordinate for all points on it is a vertical line. The equation of a vertical line is of the form \(x=a\), where \(a\) is the \(x\) - coordinate of any point on the line. Since the \(x\) - coordinate of both points is \(3\), the equation of the line is \(x = 3\).

Answer:

\(x = 3\)