document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63713>Question 63713</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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 #48284 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=48284\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "1. Find the slope of the line that passes through the points (-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 = [-5-1]/[-2--3] = [-6]/[1]=-6<BR>\n" );
document.write( "y-1=-6(x--3)<BR>\n" );
document.write( "y=-6x-18+1<BR>\n" );
document.write( "y=-6x-17<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( "The give line has slope=1/2; The line you want must have slope -2<BR>\n" );
document.write( "y-3=-2(x-1)<BR>\n" );
document.write( "y=-2x+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: y=-7x+1<BR>\n" );
document.write( "Substitute into 2nd to solve for x:<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" );
document.write( "y=-7(1)+1<BR>\n" );
document.write( "y=-6<BR>\n" );
document.write( "Solution: (1,-6)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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