document.write( "Question 119887: write the slop-intercept form of the equation of the line passing through the point (6,2) and with slop M= -4. \n" ); document.write( "
Algebra.Com's Answer #87866 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "If you want to find the equation of line with a given a slope of \"-4\" which goes through the point (\"6\",\"2\"), you can simply use the point-slope formula to find the equation:\r
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\n" ); document.write( "\n" ); document.write( "---Point-Slope Formula---
\n" ); document.write( "\"y-y%5B1%5D=m%28x-x%5B1%5D%29\" where \"m\" is the slope, and is the given point\r
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\n" ); document.write( "\n" ); document.write( "So lets use the Point-Slope Formula to find the equation of the line\r
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\n" ); document.write( "\n" ); document.write( "\"y-2=%28-4%29%28x-6%29\" Plug in \"m=-4\", \"x%5B1%5D=6\", and \"y%5B1%5D=2\" (these values are given)\r
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\n" ); document.write( "\n" ); document.write( "\"y-2=-4x%2B%28-4%29%28-6%29\" Distribute \"-4\"\r
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\n" ); document.write( "\n" ); document.write( "\"y-2=-4x%2B24\" Multiply \"-4\" and \"-6\" to get \"24\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=-4x%2B24%2B2\" Add 2 to both sides to isolate y\r
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\n" ); document.write( "\n" ); document.write( "\"y=-4x%2B26\" Combine like terms \"24\" and \"2\" to get \"26\" \r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the equation of the line with a slope of \"-4\" which goes through the point (\"6\",\"2\") is:\r
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\n" ); document.write( "\n" ); document.write( "\"y=-4x%2B26\" which is now in \"y=mx%2Bb\" form where the slope is \"m=-4\" and the y-intercept is \"b=26\"\r
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\n" ); document.write( "\n" ); document.write( "Notice if we graph the equation \"y=-4x%2B26\" and plot the point (\"6\",\"2\"), we get (note: if you need help with graphing, check out this solver)\r
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\n" ); document.write( "\n" ); document.write( " Graph of \"y=-4x%2B26\" through the point (\"6\",\"2\")\r
\n" ); document.write( "\n" ); document.write( "and we can see that the point lies on the line. Since we know the equation has a slope of \"-4\" and goes through the point (\"6\",\"2\"), this verifies our answer.
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