document.write( "Question 69807: Write the equation in slope-intercept form
\n" ); document.write( "-x + 5y = 15
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Algebra.Com's Answer #49759 by bucky(2189)\"\" \"About 
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\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( "\"5y+=+x+%2B+15\"
\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( "\"5y%2F5+=+x%2F5+%2B+15%2F5\"\r
\n" ); document.write( "\n" ); document.write( "When you do the division you get:\r
\n" ); document.write( "\n" ); document.write( "\"+y+=+%281%2F5%29x+%2B+3\"\r
\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 \"m+=+1%2F5\" and \"b+=+3\"\r
\n" ); document.write( "\n" ); document.write( "Hope this helps.
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