Finding the reflection of point (4,8) in the line y=-3/2 x+14

[euro94]

Homework Statement

Find the coordinates of reflection of the point P (4,8) in the line y=-3/2 x + 14

Homework Equations

y= -3/2x + 14

The Attempt at a Solution

find a point on the line?

 

[HallsofIvy]

Can you find the equation of the line through (4, 8), perpendicular to that line? Do you see why you want that?

 

[euro94]

would you have to sub in the point 4,8 in the equation and find the dot product?