document.write( "Question 269471: Determine whether a system of two linear equations with (0,0) and (2,2) as solutions sometimes, always, or never has other solutions. \n" ); document.write( "

Algebra.Com's Answer #197512 by oberobic(2304) $\"\"$ $\"About$

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A line is defined by two points. You have two points, so you have one line.
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\n" ); document.write( "We know two points: (0,0) and (2,2)
\n" ); document.write( "m = slope = rise/run = change in y/ change in x
\n" ); document.write( "m = (2-0)/(2-0) = 2/2 = 1
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\n" ); document.write( "By inspection we know the x and y intercepts, which is the origin (0,0).
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\n" ); document.write( "That means the equation is:
\n" ); document.write( "y = mx +b
\n" ); document.write( "y = 1*x +0
\n" ); document.write( "y = x
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