document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186063>Question 186063</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780136028956/algebrahomeworkh>9780136028956</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation in slope-intercept form of the line satisfying the given conditions.  The line passes through (2,4) and has the same y-intercept as the line whose equation is x - 4y = 8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139544 by </B><A HREF=/tutors/aboutme.mpl?userid=hkelson><B>hkelson(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=hkelson><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=139544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I can understand how this may confuse you. Hopefully this will simplify it a little more.\r<BR>\n" );
document.write( "\n" );
document.write( "You know the slope-intercept form of an equation is y=mx+b.<BR>\n" );
document.write( "The line has to pass through the point (2,4) and has the same y-intercept as a line that passes through x-4y=8.<BR>\n" );
document.write( "So you first solve the equation for y in order to get it into slope-intercept form. <BR>\n" );
document.write( "x-4y = 8 : Subtract x from both sides <BR>\n" );
document.write( "-4y= -x+8 : Divide both sides by -4 to get y by itself.<BR>\n" );
document.write( "y= 1/4x-8/4 : Simplify it<BR>\n" );
document.write( "y= 1/4x-2<BR>\n" );
document.write( "Now that it is in slope intercept form you know that the y-intercept is -2.<BR>\n" );
document.write( "You still have to figure out what the slope of the new line will be. <BR>\n" );
document.write( "Plug the coordinates in (2,4) as x and y into the equation and leave out the 1/4 since you are solving for a new slope.<BR>\n" );
document.write( "y= mx-2<BR>\n" );
document.write( "4= m(2)-2 : Add 2 to both sides<BR>\n" );
document.write( "6= m(2) : Divide both sides by 2<BR>\n" );
document.write( "3= m\r<BR>\n" );
document.write( "\n" );
document.write( "So the equation for your new line that passes through (2,4) and has the y-intercept as the line that passes through x-4y = 8 is:<BR>\n" );
document.write( "y= 3x-2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );