document.write( "Question 121236: Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph: 4y = 7 \n" ); document.write( "
Algebra.Com's Answer #88956 by Edwin McCravy(20055)\"\" \"About 
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document.write( "Graph the following equations; calculate the slope, \r\n" );
document.write( "x-intercept, and y-intercept, and label the intercepts \r\n" );
document.write( "on the graph: \r\n" );
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document.write( "\"4y+=+7\"\r\n" );
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document.write( "We write that in standard form\r\n" );
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document.write( "\"y+=+mx+%2B+b\"\r\n" );
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document.write( "where m is the slope and (0,b) is the y-intercept:\r\n" );
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document.write( "So first to get the y we multiply both sides by \"1%2F4\"\r\n" );
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document.write( "\"4y+=+7\"\r\n" );
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document.write( "\"%281%2F4%294y+=+%281%2F4%297\"\r\n" );
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document.write( "\"y+=+7%2F4\"\r\n" );
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document.write( "Now that is not in the form \"y=mx%2Bb\"\r\n" );
document.write( "but we can easily make it in that form by adding \"0x\"\r\n" );
document.write( "to the right side in front of the \"7%2F4\":\r\n" );
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document.write( "\"y+=+0x+%2B+7%2F4\"\r\n" );
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document.write( "Now we compare this to \r\n" );
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document.write( "\"y+=+mx+%2B+b\"\r\n" );
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document.write( "and find \"m=0\" and \"b=7%2F4\", so the slope is 0\r\n" );
document.write( "and the y-intercept is (0,\"7%2F4\").\r\n" );
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document.write( "To plot the y-intercept, we first convert \"7%2F4\"\r\n" );
document.write( "to the mixed fraction \"1\"\"3%2F4\" and plot a\r\n" );
document.write( "point on the y-axis, \"3%2F4\"ths of the way between\r\n" );
document.write( "1 and 2 on the y-axis:\r\n" );
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document.write( "Now since the slope is 0, that makes it easy. Lines\r\n" );
document.write( "with slope 0 are always horizontal.  Therefore we\r\n" );
document.write( "draw a horizontal line through that point:\r\n" );
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document.write( "So the slope is 0, the y-intercept is (0,\"7%2F4\"), and\r\n" );
document.write( "there can be no x-intercept because the line is horizontal\r\n" );
document.write( "and therefore parallel to the x-axis and therefore can\r\n" );
document.write( "never intersect it.\r\n" );
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document.write( "Edwin
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