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Determining equation of reflection image

mino-disabled
Newbie

Determining equation of reflection image

The question asks: The straight line 2x-3y+6=0 is reflected in the line y=-x. Determine the equation of the reflection image.
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Determining equation of reflection image

Draw the line y=-x. Plot an arbitrary point (x1,y1). Plot the reflection of that point, call it (x1',y1'). Use geometry to calculate x1' and y1' in terms of x1 and y1, and vice versa. Now you can substitute into the equation of the given line to get the equation of the reflected line.

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