Determine an equation of the line that is perpendicular to X=4 and passes through (2,3)

Question

Determine an equation of the line that is perpendicular to X=4 and passes through (2,3)

Answer 1

Since x = 4 is the vertical line that passes through (4, 3), its perpendicular line must be the horizontal line that passes through the same point, that is y = 3.  You will understand this better if you draw the lines on the coordinate plane.

Let me know if you would like a further explanation.

Answer 2

 Line perpendicular to horizontal line is one parallel to y axis.

 

Such a line that passes through given point is y = 3