Question

what is an equation of the line that passes through the points (8, 3) and (8, -2)?

Explanation:

Step1: Analyze the x - coordinates

The two points are \((8,3)\) and \((8, - 2)\). We can see that the x - coordinate of both points is \(8\), and the y - coordinates are different (\(3\) and \(-2\)).

Step2: Determine the type of line

A line where all the 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 constant x - coordinate of all the points on the line.
Since the x - coordinate for both points is \(8\), the equation of the line passing through \((8,3)\) and \((8, - 2)\) is \(x = 8\).

Answer:

$x = 8$