document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063510>Question 1063510</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the slope-intercept form of the equation with the given characteristics.<BR>\n" );
document.write( "1. Slope = 3/2, y - intercept is at (0,-4)<BR>\n" );
document.write( "2. Passes through (3,-1) and (4,-6)<BR>\n" );
document.write( "3. Parallel to the line y = -4x + 2, and passes through (1,-3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #678607 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=678607\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the slope-intercept form of the equation with the given characteristics.<BR>\n" );
document.write( "1. Slope = 3/2, y - intercept is at (0,-4)\r<BR>\n" );
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document.write( "Use the equation y = mx + b where m is the slope and b is the y-intercept.<BR>\n" );
document.write( "Given: m = 3/2 and b = -4<BR>\n" );
document.write( "Hence the equation of the line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+%283%2F2%29x+-+4%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+%283%2F2%29x+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2. Passes through (3,-1) and (4,-6)\r<BR>\n" );
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document.write( "First, compute the slope.<BR>\n" );
document.write( "The slope is equal to \"change in y\" divided by \"change in x\"<BR>\n" );
document.write( "slope, m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-6%29+-+%28-1%29%29%2F%284-3%29+=+-5 ALIGN=MIDDLE  ALT=\"%28%28-6%29+-+%28-1%29%29%2F%284-3%29+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, we use the point-slope form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We choose (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D ALIGN=MIDDLE  ALT=\"x%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D ALIGN=MIDDLE  ALT=\"y%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = (3, -1)<BR>\n" );
document.write( "y - (-1) = -5(x - 3)<BR>\n" );
document.write( "y + 1 = -5x + 15<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+-5x+%2B+14%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+-5x+%2B+14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  is the equation of the line\r<BR>\n" );
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document.write( "3. Parallel to the line y = -4x + 2, and passes through (1,-3)<BR>\n" );
document.write( "Use the fact that parallel lines have equal slopes.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y - (-3) = -4(x - 1)<BR>\n" );
document.write( "y + 3 = -4x + 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+-4x+%2B+1%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+-4x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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