document.write( "Question 577199: How do you identify whether the graph of a system of linear equations would be two intersecting lines, two distinct parallel lines, or two coincident lines? \n" ); document.write( "

Algebra.Com's Answer #370114 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
All you have to do is look at the slope.
\n" ); document.write( "If the equations are not already in this form:
\n" ); document.write( " $\"+y+=+m%2Ax+%2B+b+\"$ , then put them into that form.
\n" ); document.write( "Look at $\"+m+\"$ for each equation.
\n" ); document.write( " $\"+m+\"$ is the slope of each.
\n" ); document.write( "Cases:
\n" ); document.write( "(1) $\"+m+\"$ is the same for all, but all the
\n" ); document.write( " $\"+b+\"$ 's are different
\n" ); document.write( "These are all parallel lines
\n" ); document.write( "---------------------
\n" ); document.write( "(2) $\"+m+\"$ is the same for all, and $\"+b+\"$
\n" ); document.write( "is the same for all.
\n" ); document.write( "These lines are coincident
\n" ); document.write( "---------------------
\n" ); document.write( "(3) $\"+m+\"$ is different for all the lines
\n" ); document.write( "( It doesn't matter what $\"+b+\"$ is )
\n" ); document.write( "All these lines intersect each other
\n" ); document.write( "None are coincident and
\n" ); document.write( "none are parallel
\n" ); document.write( "---------------- \n" ); document.write( "

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