The line that is perpendicular to #y=-3# is a horizontal line, because horizontal and vertical lines (#x#- and #y#- axes for example) are perpendicular. Therefore, this line will take the form #x=n# where #n# is the #x#-coordinate of the point passed through. The #x#-coordinate of the given ordered pair #(4,-6)# is #4#, so the equation must be #x=4#