document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=821734>Question 821734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the x-intercept and the y- intercept of the graph of the equation. \r<BR>\n" );
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document.write( "5x+10y=30 \r<BR>\n" );
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document.write( "9y-5x =20\r<BR>\n" );
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document.write( "8x-2y=16 \r<BR>\n" );
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document.write( "7x+8y=18 \r<BR>\n" );
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document.write( "2y-12=-6 \r<BR>\n" );
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document.write( "2x-0.5y=8 \r<BR>\n" );
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document.write( "4x-6y=-24 \r<BR>\n" );
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document.write( "3(x+4y)=-24 \r<BR>\n" );
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document.write( "Y=-3x+12\r<BR>\n" );
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document.write( "Y=-2x-8\r<BR>\n" );
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document.write( "Thank you so much for the help you will/are providing me with I greatly appreciate it before hand this Is a great website recommended to me by a friend and I will of course do the same if it works for me  thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #494361 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=494361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "I will do two of the more difficult ones for you, and you can do the rest: <BR>\n" );
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document.write( "first, you want to make sure the equation is in standard linear equation form, which is this:<BR>\n" );
document.write( "ax + by = c<BR>\n" );
document.write( "---<BR>\n" );
document.write( "generally, a, b, and c may be positive, negative, or zero.<BR>\n" );
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document.write( "EQUATION 1:<BR>\n" );
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document.write( "in this case, we need to simplify:<BR>\n" );
document.write( "3(x + 4y) = -24<BR>\n" );
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document.write( "3x + 12y = -24<BR>\n" );
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document.write( "and presto, it's now in standard linear equation form, with a=3, b=12, and c=-24<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the linear equation, copy and paste this:<BR>\n" );
document.write( "3 12 -24<BR>\n" );
document.write( "into the \"Standard form: A B C\" input box here: https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "x-intercept = -8<BR>\n" );
document.write( "y-intercept = -2<BR>\n" );
document.write( "slope = -0.25<BR>\n" );
document.write( "---<BR>\n" );
document.write( "now that we have the above information, we can put the equation in slope-intercept form: y = mx + b<BR>\n" );
document.write( "where:<BR>\n" );
document.write( "m = slope<BR>\n" );
document.write( "b = y-intercept<BR>\n" );
document.write( "NOTE: this b (y-intercept) is not the same as the b above (from the standard linear equation form)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "so we have this now:<BR>\n" );
document.write( "y = (-0.25)x + (-2)<BR>\n" );
document.write( "y = -0.25x - 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "graph:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+2%2C+-4%2C+2%2C+-0.25x+-+2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+2%2C+-4%2C+2%2C+-0.25x+-+2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---<BR>\n" );
document.write( "---<BR>\n" );
document.write( "---<BR>\n" );
document.write( "EQUATION 2:<BR>\n" );
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document.write( "y = -3x + 12<BR>\n" );
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document.write( "this one is already in slope-intercept form: y = mx + b<BR>\n" );
document.write( "where:<BR>\n" );
document.write( "m = slope = -3<BR>\n" );
document.write( "b = y-intercept = 12<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to find the x-intercept just set y=0 and solve for x, like so:<BR>\n" );
document.write( "y = -3x + 12<BR>\n" );
document.write( "0 = -3x + 12<BR>\n" );
document.write( "3x = 12<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "x-intercept = 4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "now to graphing:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "graph:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-2%2C+5%2C+-2%2C+14%2C+-3x+%2B+12%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-2%2C+5%2C+-2%2C+14%2C+-3x+%2B+12%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---<BR>\n" );
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document.write( "as for the remaining equations, they are all solved by one or the other of the above methods.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
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