Question

what is an equation of the line that passes through the points (4,8) and (4,3)?

Explanation:

Step1: Analyze x - coordinates

Both points \((4,8)\) and \((4,3)\) have the same \(x\) - coordinate, which is \(x = 4\).

Step2: Determine line type

A line where all points have the same \(x\) - coordinate 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 for both points is \(4\), the equation of the line is \(x = 4\).

Answer:

The equation of the line is \(x = 4\)