document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198188>Question 1198188</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the lin y=2x-10 meets the x-axis at point a. the line y=-2x+4 meets the y-axis at the point b. Find the equation of the line joining a and b\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831739 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=831739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Plug in y = 0 and solve for x to locate the x intercept.\r<BR>\n" );
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document.write( "y = 2x-10<BR>\n" );
document.write( "0 = 2x-10<BR>\n" );
document.write( "2x = 10<BR>\n" );
document.write( "x = 10/2<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "The x intercept is located at (5,0)<BR>\n" );
document.write( "This is the location of point A.\r<BR>\n" );
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document.write( "Now plug in x = 0 to find the y intercept for the other linear equation<BR>\n" );
document.write( "y = -2x+4<BR>\n" );
document.write( "y = -2(0)+4<BR>\n" );
document.write( "y = 4<BR>\n" );
document.write( "The y intercept is (0,4) which is where point B is located.\r<BR>\n" );
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document.write( "We want to find the equation of the line through A(5,0) and B(0,4)<BR>\n" );
document.write( "We need the slope<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+slope+=+rise%2Frun+=+matrix%281%2C3%2C%22change%22%2C%22in%22%2C%22y%22%29%2Fmatrix%281%2C3%2C%22change%22%2C%22in%22%2C%22x%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%284+-+0%29%2F%280+-+5%29 ALIGN=MIDDLE  ALT=\"m+=+%284+-+0%29%2F%280+-+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%284%29%2F%28-5%29 ALIGN=MIDDLE  ALT=\"m+=+%284%29%2F%28-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+-4%2F5 ALIGN=MIDDLE  ALT=\"m+=+-4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We know the y intercept since this line goes through B(0,4)<BR>\n" );
document.write( "The y intercept always occurs when x = 0.\r<BR>\n" );
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document.write( "We have m = -4/5 as our slope and b = 4 as the y intercept.\r<BR>\n" );
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document.write( "Therefore, the slope-intercept equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx%2Bb ALIGN=MIDDLE  ALT=\"y+=+mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-expr%284%2F5%29x%2B4 ALIGN=MIDDLE  ALT=\"y+=+-expr%284%2F5%29x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the final answer.<BR>\n" );
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