Answer:
The correct answer is 3 x + 2 y = 10.
Step-by-step explanation:
Let us find the midpoint of the given two points (0,2) and (2,5).
The midpoint is given by
.
Let us find the equation of the line passing through the two given points (0,2) and (2,5). We use the formula
where m is the slope of the line and (
) is any point on the line.
Thus the required line is given by ![2 y - 3 x - 4 = 0.](https://tex.z-dn.net/?f=2%20y%20-%203%20x%20-%204%20%3D%200.)
The line perpendicular to this line would give us the line of reflection.
So the equation of the line of reflection is
( A line perpendicular to
is given by
)
The midpoint (
) should pass through the line of reflection.
Thus this gives the value of k = 10.
So the required line of reflection is given by ![3x+2y-10=0.](https://tex.z-dn.net/?f=3x%2B2y-10%3D0.)