document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=368730>Question 368730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the x and y intercepts of the graph 4x - 7y = 14? Can you show me step by step how you solved this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #262735 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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/cgi-bin/show-face.mpl?user=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=262735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is fairly simple to find the x and y intercepts of a line. <br>\r<BR>\n" );
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document.write( "To find the y intercept, just set x equal to zero and solve for y!<br>\r<BR>\n" );
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document.write( "4(0)-7y=14<br>\r<BR>\n" );
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document.write( "-7y=14<br>\r<BR>\n" );
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document.write( "y=-2<br>\r<BR>\n" );
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document.write( "Thus the y intercept is -2, or more precisely, the point (0,-2)<br>\r<BR>\n" );
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document.write( "You might have guessed by now,<br>\r<BR>\n" );
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document.write( "to find the x intercept, just set y equal to zero and solve for x!<br>\r<BR>\n" );
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document.write( "4x-7(0)=14<br>\r<BR>\n" );
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document.write( "4x=14<br>\r<BR>\n" );
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document.write( "x=7/2<br>\r<BR>\n" );
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document.write( "Thus the x intercept is 7/2, or more precisely, the point (7/2,0)<br>\r<BR>\n" );
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document.write( "The easiest way to find the y intercept is to put the equation into slope intercept form or y=mx+b where m is the slope of the line and b is the y intercept!<br>\r<BR>\n" );
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document.write( "Thus,<br>\r<BR>\n" );
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document.write( "4x-7y=14<br>\r<BR>\n" );
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document.write( "4x-14=7y<br>\r<BR>\n" );
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document.write( "7y=4x-14<br>\r<BR>\n" );
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document.write( "y=4/7(x)-2<br>\r<BR>\n" );
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document.write( "Notice how we get the b to end up equaling -2, which is exactly what we figured out above! <br> \r<BR>\n" );
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document.write( "By the same token, we also now know the slope of the line, 4/7.<br>\r<BR>\n" );
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document.write( "I hope this helps!<br> </SPAN>\n" );
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