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16. (2 pts) parallel to y - axis and passes through the point (3, 0)

Question

  1. (2 pts) parallel to y - axis and passes through the point (3, 0)

Explanation:

Step1: Recall the property of a line parallel to the y - axis

A line parallel to the y - axis has an equation of the form \(x = k\), where \(k\) is a constant. This is because for any point \((x,y)\) on the line, the \(x\) - coordinate remains the same.

Step2: Determine the value of \(k\) using the given point

The line passes through the point \((3,0)\). Since the equation of the line is \(x = k\) and the \(x\) - coordinate of the given point is \(3\), we substitute \(x = 3\) into the equation \(x=k\). So, \(k = 3\).

Answer:

\(x = 3\)