document.write( "Question 1143408: What is the equation, in slope-intercept form, of the line that is perpendicular to the line
\n" ); document.write( "y - 4 = - (x - 6) and passes through the point (−2, −2)? \r
\n" ); document.write( "\n" ); document.write( "y = - x - y = - x +
\n" ); document.write( "y = x - 1
\n" ); document.write( "y = x + 1
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Algebra.Com's Answer #764218 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"y+-+4+=+-%28x+-+6%29\"\r\n" );
document.write( "Since \r\n" );
document.write( "\"y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29\" has slope m, and since\r\n" );
document.write( "\"y+-+4+=+-%28x+-+6%29\" is equivalent to\r\n" );
document.write( "\"y+-+4+=+-1%28x+-+6%29\", then m = -1 the slope of the given line.\r\n" );
document.write( "The slope of a line perpendicular to a line with slope m is \"-1%2Fm\".\r\n" );
document.write( "So the line we want has slope \"-1%2F%28-1%29\" or 1\r\n" );
document.write( "\"y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29\"\r\n" );
document.write( "we substitute (x1, y1) = (-2, -2) and m = 1:\r\n" );
document.write( "\"y+-+%28-2%29+=+1%28x+-+%28-2%29%5E%22%22%29\"\r\n" );
document.write( "\"y+%2B+2+=+x+%2B+2\"\r\n" );
document.write( "Subtract 2 from each side:\r\n" );
document.write( "\"y=x\"\r\n" );
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document.write( "Below the red line is the given line \"y+-+4+=+-%28x+-+6%29\"\r\n" );
document.write( "and the green line is the one we found \"y=x\"\r\n" );
document.write( "\r\n" );
document.write( "\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C-x%2B10%2Cx%29\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
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