finding eqn from points / finding eqns for square's sides

michaelarcher

New member
Joined
Jan 17, 2007
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2
I have no idea how to figure these 2 questions out or even where to start.
Thanks for any help.

#1 It says, "Find an equation satisfied by the ordered pairs (1, 12), (2, 6), (4, 3) and (6, 2). Is this equation a direct variation, indirect variation or neither?"

#2 It says, "On a coordinate system, the lines containing two sides of a square have equations y=x and y=x+2. If the point at (0, 0) and (0, 2) are two of the vertices of the square, write equations for the lines containing the other two sides and find the coordinates of the other two vertices."

I really need the answers, my teacher explained this when I was absent and he wont tell me how to do it, even with a doctors note(I had the flu).
 
For #2. Clearly the points (0,0) & (0,2) are opposite vertices. That is, they are endpoints of a diagonal of the square. Because adjacent sides are perpendicular the slope of the lines containing the other sides must be –1. So use those the points along with m=-1 and write the equations.
 
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