document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63716>Question 63716</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you please helm me on these equations.thank you<BR>\n" );
document.write( "1.  Find the slope of the line that passes through the points (-3, -5) and (3, 2).\r<BR>\n" );
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document.write( "2.  Find the equation, in slope-intercept form, of the line that passes through the points (-3, 1) and (-2, -5).\r<BR>\n" );
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document.write( "3.  Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x – 2y = 24 and passing through (1, 3).\r<BR>\n" );
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document.write( "4.  Solve the system of equations using the substitution method.<BR>\n" );
document.write( "If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”<BR>\n" );
document.write( "7x + y = 1<BR>\n" );
document.write( "3x + 2y = -9<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 #44436 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=44436\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Find the slope of the line that passes through the points <BR>\n" );
document.write( "(-3, -5) and (3, 2).<BR>\n" );
document.write( "slope = [2--5]/[3--3]=7/6<BR>\n" );
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document.write( "2. Find the equation, in slope-intercept form, of the line that passes through the points (-3, 1) and (-2, -5). <BR>\n" );
document.write( "slope = 6/-1=-6<BR>\n" );
document.write( "Equation of the line:<BR>\n" );
document.write( "y=mx+b; you are given x,y,and m to solve for b, as follows:<BR>\n" );
document.write( "1=-6(-3)+b<BR>\n" );
document.write( "1=18+b<BR>\n" );
document.write( "b=-17<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "y=-6x-17\r<BR>\n" );
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document.write( "3. Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x – 2y = 24 and passing through (1, 3). <BR>\n" );
document.write( "If x-2y=24, y=(1/2)x-12<BR>\n" );
document.write( "Any line perpendicular to it has slope m=-2<BR>\n" );
document.write( "The line with slope -2 and passing through (1,3):<BR>\n" );
document.write( "3=-2*1+b<BR>\n" );
document.write( "b=5<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "y=-2x+5<BR>\n" );
document.write( "Standard form is ax+by=c<BR>\n" );
document.write( "2x+y=5<BR>\n" );
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document.write( "4. Solve the system of equations using the substitution method.<BR>\n" );
document.write( "If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”<BR>\n" );
document.write( "1st: 7x + y = 1<BR>\n" );
document.write( "2nd: 3x + 2y = -9<BR>\n" );
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document.write( "Solve 1st for y to get: y=-7x+1<BR>\n" );
document.write( "Substitute into 2nd to get:<BR>\n" );
document.write( "3x+2(-7x+1)=-9<BR>\n" );
document.write( "3x-14x+2=-9<BR>\n" );
document.write( "-11x=-11<BR>\n" );
document.write( "x=1<BR>\n" );
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document.write( "Substitute in y=-7x+1 to get<BR>\n" );
document.write( "y=-7*1+1=8<BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "x=1, y=8<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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