Question 1127490
<br>
The basic idea is, as the other tutor said, that when you reflect a line (or any graph) over the line y=x, the x and y coordinates get switched.<br>
His method for solving the problem was to find the equation of the line through the two given points and switch the x and y in the equation.<br>
Another method would to be to switch the coordinates of the two given points and find the equation of the line through those two points:<br>
The two reflected points are (3,-4) and (-6,2).
The slope of the line through those two points is -6/9 = -2/3.
Using either of the two points and the slope, the equation of the line is y = (-2/3)x-2.
Changing the equation to standard form gives 2x+3y=6.<br>
Both methods are equally valid, and equally easy.  If you have several problems like this, try both methods and find which you find easier to use.