document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54323>Question 54323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Determine the equation of the line that passes through the points (-4, 3) and (2,2).\r<BR>\n" );
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document.write( "2+-4 =  2  <BR>\n" );
document.write( "2+(-3)= 5\r<BR>\n" );
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document.write( "y+y=2/5 {x+(-4)}<BR>\n" );
document.write( "y+y=2/5x+8/5<BR>\n" );
document.write( "y=2/5x+8/5-2/5=2/5x=5/5=1\r<BR>\n" );
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document.write( "2. Find the x and y intercepts and the slope of the line for 4x-3y=-6<BR>\n" );
document.write( "-3y=-4x-6\r<BR>\n" );
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document.write( "-3y -4x =-6<BR>\n" );
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document.write( "-3   -3  3- <BR>\n" );
document.write( "y=3/4x -2<BR>\n" );
document.write( "=4/3       y=0,4<BR>\n" );
document.write( "           x=3,0\r<BR>\n" );
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document.write( "3. Graph y = -3/4x -2\r<BR>\n" );
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document.write( "4. Graph 3x+2y= -6<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 #36595 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=36595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> . Determine the equation of the line that passes through the points (-4, 3) and (2,2). <BR>\n" );
document.write( "You need the slope and y-intercept:<BR>\n" );
document.write( "Slope = [3-2]/[-4-2]= -1/6<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "2=(-1/6)2+b<BR>\n" );
document.write( "2=-1/3 + b<BR>\n" );
document.write( "7/3 = b<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "y=(-1/6)x+(7/3)<BR>\n" );
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document.write( "2. Find the x and y intercepts and the slope of the line for 4x-3y=-6<BR>\n" );
document.write( "3y=4x+6<BR>\n" );
document.write( "y=(4/3)x+2<BR>\n" );
document.write( "Slope = (4/3)<BR>\n" );
document.write( "y-intercept = 2<BR>\n" );
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document.write( "3. Graph y = (-3/4)x -2 <BR>\n" );
document.write( "Let x=0, then y=-2 giving you the point (0,-2)<BR>\n" );
document.write( "Let x=4, then y=-5 giving you the point (4,-5)<BR>\n" );
document.write( "Plot those two points  and draw a line thru them.<BR>\n" );
document.write( "That is the graph.<BR>\n" );
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document.write( "4. Graph 3x+2y= -6<BR>\n" );
document.write( "Let x=0 then y=-3: Plot the point (0,-3)<BR>\n" );
document.write( "Let y=0, then x=-2; Plot the point (-2,0)<BR>\n" );
document.write( "Draw a line thru those points.<BR>\n" );
document.write( "That is the graph.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H.\r<BR>\n" );
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