document.write( "Question 67806: How do you write equations in standard form.
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Algebra.Com's Answer #48227 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! How do you write equations in standard form.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "First, you determine what the standard form is for the equation you are interested in and then you manipulate your equation until it fits the standard form:\r \n" ); document.write( "\n" ); document.write( "Example(1): The standard form for a quadratic equation is:\r \n" ); document.write( "\n" ); document.write( "Ax^2+Bx+C=0\r \n" ); document.write( "\n" ); document.write( "Our equation is:\r \n" ); document.write( "\n" ); document.write( "2x^2+4x=3x+x^2-10 Lets subtract x^2 and 3x from and add 10 to both sides:\r \n" ); document.write( "\n" ); document.write( "2x^2-x^2+4x-3x+10=3x-3x+x^2-x^2-10+10 collect like terms:\r \n" ); document.write( "\n" ); document.write( "x^2+x+10=0-------------------STANDARD FORM \n" ); document.write( "A=1 \n" ); document.write( "B=1 \n" ); document.write( "C=10 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Example(2) The slope-intercept form of a straight line is:\r \n" ); document.write( "\n" ); document.write( "y=mx+b \n" ); document.write( "Where m is the slope and b is the y-intercept\r \n" ); document.write( "\n" ); document.write( "Our equation is:\r \n" ); document.write( "\n" ); document.write( "3y+5=2x-7 subtract 5 from both sides:\r \n" ); document.write( "\n" ); document.write( "3y+5-5=2x-7-5 collect like terms:\r \n" ); document.write( "\n" ); document.write( "3y=2x-12 divide both sides by 3\r \n" ); document.write( "\n" ); document.write( "y=(2/3)x-4-------------------STANDARD FORM \n" ); document.write( "m=2/3 \n" ); document.write( "y-intercept=-4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor \n" ); document.write( " |