document.write( "Question 523706: State whether the graphs of ((x/2)-(y/3))=1 and y=((-2x/3)+4)) are parallel or perpendicular. please show working \n" ); document.write( "

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((x/2)-(y/3))=1 .............(1)
\n" ); document.write( "Multiply by 6 both sides of the equation
\n" ); document.write( "3x-2y=6
\n" ); document.write( "-2y=-3x+6
\n" ); document.write( "Divide by -2 both sides
\n" ); document.write( "-2y/-2=(-3x+6)/-2
\n" ); document.write( "y=3x/2-6/2
\n" ); document.write( "y=3x/2-3
\n" ); document.write( "Above equation is the equation of straight line
\n" ); document.write( "Slope = 3/2 and Y-intercept = -3\r
\n" ); document.write( "\n" ); document.write( "y=((-2x/3)+4))
\n" ); document.write( "y=-2x/3+4\r
\n" ); document.write( "\n" ); document.write( "Above equation is the equation of straight line
\n" ); document.write( "Slope = -2/3 and Y-intercept = 4\r
\n" ); document.write( "\n" ); document.write( "Graphs are perpendicular,
\n" ); document.write( "When two lines are perpendicular Multiplication of their slopes will result in (-1).\r
\n" ); document.write( "\n" ); document.write( "=Slope of line one * slope of line two
\n" ); document.write( "= 3/2 * -2/3
\n" ); document.write( "= -1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Red Line y=3x/2-3
\n" ); document.write( "Green line y=-2x/3+4
\n" ); document.write( " $\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+y=3x%2F2-3%2C+y=-2x%2F3%2B4%29+\"$
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