Write the equation of a line that is perpendicular to x=8 and goes through (4,-2)

Another tricky one, RP

A perpendicular line  to   x  =   a     will be     y =  b

So..... a line perpendicular to x = 8   will   be   y = the y coordinate of the given point

So....we have

y = -2

See the graph here to get a feel for this :  https://www.desmos.com/calculator/2av3sxef7g