document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37962>Question 37962</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the equation for a solution line that has the solution points of (4,1) and (-2,4).<BR>\n" );
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document.write( "what unique ordered pair will satisfy both of the following equations:<BR>\n" );
document.write( "5x+2y=1<BR>\n" );
document.write( "2x+3y=7 <BR>\n" );
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document.write( "AND, last but not least...<BR>\n" );
document.write( "write the equation point that has the solution point's (3,2) and (1,0)\r<BR>\n" );
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document.write( "PLEASE EXPLAIN HOW TO GET THE ANSWERS THANKS A BUNCH. <BR>\n" );
document.write( "~EVY~ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23465 by </B><A HREF=/tutors/aboutme.mpl?userid=sonimyke><B>sonimyke(4)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sonimyke><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23465\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Equation for a solution line that has the solution points of (4,10) and (-2,4).<BR>\n" );
document.write( "First, find the slope of the line using the formula (y1-y2)/(x1-x2)<BR>\n" );
document.write( "y1=10, y2=4, x1=4, x2=-2.<BR>\n" );
document.write( "slope=10-4/4--2<BR>\n" );
document.write( "slope=6/6<BR>\n" );
document.write( "slope=1<BR>\n" );
document.write( "Secondly, find the y-intercept by substituting values for the variables in the equation y=mx+b. I will use the point (4,10).<BR>\n" );
document.write( "10=1(4)+b<BR>\n" );
document.write( "10=4+b<BR>\n" );
document.write( "10-4=b<BR>\n" );
document.write( "6=b<BR>\n" );
document.write( "b=6 so the y-intercept is 6.<BR>\n" );
document.write( "there fore, the equation of the line is going to be y=x+6.\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "what unique ordered pair will satisfy both of the following equations:<BR>\n" );
document.write( "5x+2y=1-equation 1<BR>\n" );
document.write( "2x+3y=7-equation 2<BR>\n" );
document.write( "multiply equation 1 through by 3 and equation 2 through by 2.<BR>\n" );
document.write( "the new equations are going to be<BR>\n" );
document.write( "15x+6y=3-equation 1<BR>\n" );
document.write( "4x+6y=14-equation 2<BR>\n" );
document.write( "subtract equation 2 from equation 1<BR>\n" );
document.write( " 15x+6y= 3<BR>\n" );
document.write( "- 4x+6y=14<BR>\n" );
document.write( "you should then getthe equation<BR>\n" );
document.write( "11x=-11<BR>\n" );
document.write( "11x/11=-11/11 (divide both sides by 11)<BR>\n" );
document.write( "x=-1<BR>\n" );
document.write( "to find y, substitute -1 in any one of the equations for x.<BR>\n" );
document.write( "5(-1)+2y=1<BR>\n" );
document.write( "-5+2y=1<BR>\n" );
document.write( "2y=1+5<BR>\n" );
document.write( "2y=6 (divide both sides by 2)<BR>\n" );
document.write( "y=3<BR>\n" );
document.write( "therefore, the unique ordered pair is (-1,3)\r<BR>\n" );
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document.write( "write the equation point that has the solution point's (3,2) and (1,0)<BR>\n" );
document.write( "Like the first question I solved, you first find the slope.<BR>\n" );
document.write( "2-0/3-1=2/2<BR>\n" );
document.write( "slope=1<BR>\n" );
document.write( "I would like to use the point (3,2) to find the y-intercept.<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "2=1(3)+b<BR>\n" );
document.write( "2=3+b<BR>\n" );
document.write( "2-3=b<BR>\n" );
document.write( "-1=b<BR>\n" );
document.write( "Since b=-1, the y-intercept is -1.<BR>\n" );
document.write( "therefore, the equation is going to be y=x-1 </SPAN>\n" );
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