document.write( "Question 633170: Part 1: Provide a system of TWO equations in slope-intercept form, with only one solution. Using complete sentences, explain why this system has one solution.\r
\n" ); document.write( "\n" ); document.write( "Part 2: Provide a system of TWO equations in slope-intercept form with no solutions. Using complete sentences, explain why this system has no solutions.\r
\n" ); document.write( "\n" ); document.write( "Part 3: Provide a system of TWO equations in slope-intercept form with infinitely many solutions. Using complete sentences, explain why this system has infinitely many solutions. \r
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Algebra.Com's Answer #398697 by richwmiller(17219)\"\" \"About 
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3)Let's start with infinite number of solutions. The two equations are the same line. The equations are multiple of each other.\r
\n" ); document.write( "\n" ); document.write( "y=x+2
\n" ); document.write( "2y=2x+4
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\n" ); document.write( "equations with no solutions are parallel.
\n" ); document.write( "y=3 and y=4 are parallel horizontal lines with slope of zero.
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\n" ); document.write( "this is the type you usually find where the two lines cross.
\n" ); document.write( "However, I am going to give you perpendicular lines which don't fit the rule.
\n" ); document.write( "y=3 and x=3 are perpendicular but the slopes multiplied together don't equal -1 \r
\n" ); document.write( "\n" ); document.write( "x=3 is a vertical line.
\n" ); document.write( "y=3 is a horizontal line.
\n" ); document.write( "y=3 has a slope of zero.
\n" ); document.write( "x=3 has an undefined slope since x never changes. Remember slope is the change in y over the change in x.
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