document.write( "Question 1086076: a line passes through the point (-4,-1) and has a slope of 3. Write an equation for this line. \n" ); document.write( "
Algebra.Com's Answer #700214 by jim_thompson5910(35256)\"\" \"About 
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Point Slope Form:\r
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\n" ); document.write( "\n" ); document.write( "\"y-y%5B1%5D+=+m%28x-x%5B1%5D%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"y-y%5B1%5D+=+3%28x-x%5B1%5D%29\" Replace m with the given slope 3\r
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\n" ); document.write( "\n" ); document.write( "\"y-y%5B1%5D+=+3%28x-%28-4%29%29\" Plug in \"x%5B1%5D+=+-4\" which is the x coordinate of the point the line goes through\r
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\n" ); document.write( "\n" ); document.write( "\"y-%28-1%29+=+3%28x-%28-4%29%29\" Plug in the y coordinate \"y%5B1%5D+=+-1\" of the point the line goes through. Now solve for y.\r
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\n" ); document.write( "\n" ); document.write( "\"y%2B1+=+3%28x%2B4%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"y%2B1+=+3%28x%29%2B3%284%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"y%2B1+=+3x%2B12\"\r
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\n" ); document.write( "\n" ); document.write( "\"y%2B1-1+=+3x%2B12-1\" Subtract 1 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+3x%2B11\" Answer in slope intercept form. We see that the y intercept is 11, meaning that the point (0,11) is also on the line. \r
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\n" ); document.write( "\n" ); document.write( "Graph:
\n" ); document.write( "\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-5%2C+15%2C+0%2C3x%2B11%29+\"
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