document.write( "Question 205699: The equation of the line L is 3y - x=9. Find
\n" );
document.write( "a) The coordinates of the point where l intersects the y- axis.
\n" );
document.write( "b) The equation of the line which is parallel to l and which passes through the point (0, -5)
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #156987 by tutor_paul(519)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The point where a line crosses the Y-axis is called the \"Y-Intercept.\" The easiest way to determine the Y intercept when you are given the equation of the line is to write the equation in y=mx+b form. the \"b\" term is then just read off the equation as the Y-intercept. \n" ); document.write( "====== \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "So now that you have the equation written in the proper form, you can easily see that the Y-intercept=3. \n" ); document.write( "======= \n" ); document.write( "To do the 2nd part of the problem, you need to know that 2 lines are parallel if they have the same slope. When the equation of a line is written in y=mx+b form, the slope is just the \"m\" term. In our case, the slope is 1/3. You are also given the fact that the line passes through the point (0,-5). Since the x term of this coordinate is zero, you know that the Y-intercept is just the Y-coordinate, which is -5. So now that you have the slope and the Y-intercept, it is a simple matter to write the equation of this second line: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "============ \n" ); document.write( "Good Luck, \n" ); document.write( "tutor_paul@yahoo.com \n" ); document.write( " \n" ); document.write( " |