Question 549972: 5. Determine graphically the co-ordinates of the vertices of a triangle, the equation of whose sides are given:
(i) y = x ; y = 2x ; x + y = 6
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! To graph a line, all you have to do is determine two points, plot them, and connect them.
Line 
For  ,  , giving us the point (0,0).
For  ,  , giving us the point (6,6).
Line 
For ,  , giving us the point (0,0).
For  ,  , giving us the point (3,6).
Line 
For ,  , giving us the point (0,6).
For  ,  , giving us the point (6,0).
Plotting all 3 pairs of points, and connecting each pair to make the corresponding line, we get:
 The vertices appear to be (0,0), (2,4), and (3,3).
We know that (0,0) is a point in the first two lines (we used that point to graph them).
We should verify that (2,4) and (3,3) are indeed at the intersection of line  with the first two lines, but that is so mental-math obvious that I'm going to skip it and proclaim that the three vertices are indeed (0,0), (2,4), and (3,3).
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