Answer:
x=2 is the equation of the line that is perpendicular to the given line and passes through the point (2,6). 
Step-by-step explanation:
We are given a graph of line whose equation is y=-4 and passing point (-8,-4) and (8,-4). 
We need to find the equation of line which is perpendicular to y=-4 
As we know y=-4 is horizontal line on coordinate plane.
If a line perpendicular to y=-4 then it must be vertical line. 
Equation of vertical line : x=h 
Passing point of line (2,6) 
x would be same for all points in vertical line. 
Required equation of line: x=2 
Thus, x=2 is the equation of the line that is perpendicular to the given line and passes through the point (2,6).