document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119376>Question 1119376</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a sheet of paper, graph a line segment from starting point S(2,5)  to ending point E(-1,-3)  and then perform the following:\r<BR>\n" );
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document.write( "a. What will be the new starting and ending points if you reflected this line segment through the line y = x ?<BR>\n" );
document.write( "b. Find the point on this new (reflected) segment which is 3/4 of the way from the starting point to the ending point. What quadrant is this point in?<BR>\n" );
document.write( "c. Explain how you arrived at your answers. </SPAN>\n" );
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document.write( "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><BR>\n" );
document.write( "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><BR>\n" );
document.write( "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><BR>\n" );
document.write( "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><BR>\n" );
document.write( "So the point is (-1,-1/4); that is in quadrant III.<br><BR>\n" );
document.write( "c.  The explanations are given above for each part. </SPAN>\n" );
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