document.write( "Question 1189603: What is an equation in slope-intercept form of the line that passes through (6, −7) and is perpendicular to the line shown below?\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #821009 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
What is an equation in slope-intercept form of the line that
\n" ); document.write( "passes through (6, −7) and is perpendicular to the line shown
\n" ); document.write( "below?
\n" ); document.write( "
\r\n" );
document.write( "I'll make up a line shown below, since you didn't give one.\r\n" );
document.write( "Your problem will be done the same way:\r\n" );
document.write( "\r\n" );
document.write( "Let's say you were given this graph:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We take two points on the given line and find its slope:\r\n" );
document.write( "\r\n" );
document.write( "Slope formula:\r\n" );
document.write( "\r\n" );
document.write( "\"m\"\"%22%22=%22%22\"\"%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"\r\n" );
document.write( "\r\n" );
document.write( "where (x1,y1) = (-2,2)\r\n" );
document.write( "and where (x2,y2) = (10,-4)\r\n" );
document.write( "\r\n" );
document.write( "\"m\"\"%22%22=%22%22\"\"%28%28-4%29-%282%29%29%2F%28%2810%29-%28-2%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"m\"\"%22%22=%22%22\"\"%28-4-2%29%2F%2810%2B2%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"m\"\"%22%22=%22%22\"\"%28-6%29%2F%2812%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"m\"\"%22%22=%22%22\"\"-1%2F2\"\r\n" );
document.write( "\r\n" );
document.write( "That's the slope of the given line. A line perpendicular\r\n" );
document.write( "to a given line has a slope which is the reciprocal of\r\n" );
document.write( "the given line with the opposite sign.\r\n" );
document.write( "\r\n" );
document.write( "The reciprocal of \"-1%2F2\" with the opposite sign is \"%22%22%2B2%2F1\",\r\n" );
document.write( "which is just 2.\r\n" );
document.write( "\r\n" );
document.write( "Next we use the point-slope formula:\r\n" );
document.write( "y - y1 = m(x - x1)\r\n" );
document.write( "where (x1,y1) = (6,-7), and m = 2.\r\n" );
document.write( "\r\n" );
document.write( "\"y-%28-7%29\"\"%22%22=%22%22\"\"%282%29%28x-%286%29%29\"\r\n" );
document.write( "\"y%2B7\"\"%22%22=%22%22\"\"2%28x-6%29\"\r\n" );
document.write( "\"y%2B7\"\"%22%22=%22%22\"\"2x-12\"\r\n" );
document.write( "\"y\"\"%22%22=%22%22\"\"2x-19\"   <---answer\r\n" );
document.write( "\r\n" );
document.write( "Now use the above as a model to solve yours. \r\n" );
document.write( "Here's the graph of the answer (in green): \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );