Question 1119376
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a.  Reflecting the graph (ANY graph) in the line y=x simply switches the x and y values.  So the new starting point is (5,2) and the new ending point is (-3,-1).<br>
b.  To find the point on the new line 3/4 of the way from the starting point to the ending point, compute the x and y values of the point sepearately.<br>
From starting point to ending point, the change in x is -8 (from 5 to -3); 3/4 of -8 is -6; -6 from the starting x value of 5 is 5-6 = -1.  The x coordinate of the point we are looking for is -1.<br>
From the starting point to the ending point, the change in y is -3 (from 2 to -1); 3/4 of -3  is -9/4; -9/4 from the starting y value of 2 is 2-9/4 = 8/4-9/4 = -1/4.  The y coordinate of the point is -1/4.<br>
So the point is (-1,-1/4); that is in quadrant III.<br>
c.  The explanations are given above for each part.