Concept For knowing the equation of the line mirror its slope needs to be determined first.
When two lines are perpendicular, the product of their slope is
−1. If
m is the slope of a line, then the slope of a line perpendicular to it is
−1∕m.
Theslope of a line passing through the distinct points
(x1,y1) and
(x2,y2) is
m= Equation of line is
(y−y1)=m(x−x1) Calculation:
The line mirror is perpendicular to the line joining the two points. So, for the point,
x==0 y==0 (x,y)=(0,0) Slope of the line joining
(−4,2) and
(4,−2)== As the mirror is perpendicular to this line so,
m×()=−1 m=2 Hence, the equation of line mirror is,
=2 ∴y=2x