document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58921>Question 58921</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a line that goes through the y-intercept of 2x - 3y = 24 and the x-intercept of 5x + 6y = 30. Leave your answer in slope-intercept form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40416 by </B><A HREF=/tutors/aboutme.mpl?userid=uma><B>uma(370)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=uma><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=40416\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given equation is 2x - 3y = 24<BR>\n" );
document.write( "To find the y inyercept we put x = 0,<BR>\n" );
document.write( "==> -3y = 24 or y = -8{dividing by 3]<BR>\n" );
document.write( "So the first point is (0, -8)\r<BR>\n" );
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document.write( "5x + 6y = 30<BR>\n" );
document.write( "Replacing y by 0 we get,<BR>\n" );
document.write( "5x = 30 or x = 6[dividing by 5]<BR>\n" );
document.write( "So the second point is (5,0)\r<BR>\n" );
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document.write( "Equation of a line through 2 points (x1,y1) and (x2,y2) is (y-y1)/(x-x1)= (y2-y1)/(x2-x1)\r<BR>\n" );
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document.write( "Applying that for our points we get,\r<BR>\n" );
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document.write( "(y+8)/(x-0) = (0+8)/(6+0) <BR>\n" );
document.write( "==> (y+8)/x = 8/6<BR>\n" );
document.write( "==>  (y+8)/x= 4/3<BR>\n" );
document.write( "On simplification we get, 3y + 24 = 4x<BR>\n" );
document.write( "Or 3y = 4x - 24 </SPAN>\n" );
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