document.write( "Question 82966: Can someone please, please show me how to do this?
\n" ); document.write( "Write the equation of the line which has y-intercept (0, 5) and is perpendicular to the line with equation y = –3x + 1.
\n" ); document.write( "I got y = –3x + 5. AM i right, am I close to being right?
\n" ); document.write( "

Algebra.Com's Answer #59536 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Can someone please, please show me how to do this?\r\n" );
document.write( "Write the equation of the line which has y-intercept (0, 5) and is\r\n" );
document.write( "perpendicular to the line with equation y = –3x + 1.\r\n" );
document.write( "I got y = –3x + 5. AM i right, am I close to being right?\r\n" );
document.write( "\r\n" );
document.write( "----------------------------------\r\n" );
document.write( "\r\n" );
document.write( "Your answer would have been correct if the word \"perpendicular\"\r\n" );
document.write( "had been \"parallel\".\r\n" );
document.write( "\r\n" );
document.write( "So you have confused \"perpendicular\" with \"parallel\"\r\n" );
document.write( "\r\n" );
document.write( "Things to remember:\r\n" );
document.write( "\r\n" );
document.write( "1.  Parallel lines have EQUAL slopes.\r\n" );
document.write( "2.  Perpendicular lines have slopes which are formed by\r\n" );
document.write( "    taking the reciprocal and changing the sign.\r\n" );
document.write( "\r\n" );
document.write( "The slope of y = -3x + 1 is -3\r\n" );
document.write( "\r\n" );
document.write( "Therefore a line which is perpendicular to it will have\r\n" );
document.write( "the slope which is formed thusly:\r\n" );
document.write( "\r\n" );
document.write( "Take -3.\r\n" );
document.write( "Write it as \"-3%2F1\"\r\n" );
document.write( "Invert it as \"-1%2F3\"\r\n" );
document.write( "Change the sign and get \"1%2F3\"\r\n" );
document.write( "\r\n" );
document.write( "So the slope of a line PERPENDICULAR to the line whose\r\n" );
document.write( "equation is y = -3x + 1 is \"1%2F3\"\r\n" );
document.write( "\r\n" );
document.write( "Now use the form:\r\n" );
document.write( "\r\n" );
document.write( "     y = mx + b   where m = \"1%2F3\" and b = 5 \r\n" );
document.write( "\r\n" );
document.write( "     y = \"1%2F3\"x + 5\r\n" );
document.write( "\r\n" );
document.write( "That is the PERPENDICULAR line's equation.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );