\n" );
document.write( "
\n" );
document.write( "Discussion
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "The first thing to realize is that parallel lines have equal slopes, so in a
\n" );
document.write( "problem like this, you first need to determine the slope of the given line.
\n" );
document.write( "The best way to do this is to put the given equation into slope-intercept form
\n" );
document.write( "(
) by solving the equation for y.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Your next task is to write an equation in point-slope form (
),
\n" );
document.write( "using the slope you determined from the given equation and the given point.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "I'll show you how to do one of the problems, and then you should be able to do the other one.
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "Solution
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\r
\n" );
document.write( "\n" );
document.write( "This equation is already in the slope-intercept form, so the first step is
\n" );
document.write( "done. You can determine the slope of the line by examining the coefficient on
\n" );
document.write( "the x term -- 5 in this case.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Now take the coordinates from the given point, (0,0), and substitute them and
\n" );
document.write( "the value of the slope into the point-slope form of the line:\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
, which is the desired equation.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "Check Answer
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "The red line is a graph of your given equation, and the green line is the
\n" );
document.write( "graph of the derived parallel line equation.
\n" );
document.write( "
\n" );
document.write( "