document.write( "Question 69807: Write the equation in slope-intercept form
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document.write( "-x + 5y = 15
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Algebra.Com's Answer #49759 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The slope-intercept form is y = mx + b in which m and b are two constants.\r \n" ); document.write( "\n" ); document.write( "All you have to do is to rearrange the given equation so that it is in the form:\r \n" ); document.write( "\n" ); document.write( "y = mx + b.\r \n" ); document.write( "\n" ); document.write( "The first thing to notice is that in the equation you were given, the term containing x \n" ); document.write( "is on the left side, but in the slope-intercept form it is on the right side. So to move \n" ); document.write( "the term containing the x to the right side, you can add x to both sides. Adding x \n" ); document.write( "on the left side has the effect of canceling out the -x. And adding x on the right \n" ); document.write( "side puts an x on the right side. The resulting equation is now: \n" ); document.write( " \n" ); document.write( "When you compare this equation with the slope-intercept form, you should see that the \n" ); document.write( "slope-intercept form has only y on the left side. But your equation now has 5y on the left \n" ); document.write( "side. You need to divide the left side of your equation by 5 so that it just becomes \n" ); document.write( "y. But if you divide the left side by 5, you must also divide all the terms on the right \n" ); document.write( "side by 5. The division is:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "When you do the division you get:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now you have it exactly in the slope-intercept form. You have just y on the left \n" ); document.write( "side and on the right side you have \n" ); document.write( "\n" ); document.write( "Hope this helps. \n" ); document.write( " |