Wanted find the equation of the line perpendicular to y=−2 that passes through the point (4, −2)

x = 4

y = -2 is the equation of a horizontal line parallel to the x- axis , passing through all points with a y- coordinate = - 2

A line perpendicular to y = - 2 will be a vertical line parallel to the y- axis with equation x = c where c is the value of the x- coordinate the line passes through.

the line passes through (4 , - 2) with x- coordinate 4

equation of perpendicular line is x = 4