document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114111>Question 114111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line that contains the point (2, -3) and has a slope of 3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83081 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=83081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using the slope-intercept form for a linear equation, you begin with:<BR>\n" );
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document.write( "y = mx + b <BR>\n" );
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document.write( "in which m is the slope and b is the value of y at the point where the graph intercepts <BR>\n" );
document.write( "the y-axis.<BR>\n" );
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document.write( "You are told that the line graph has a slope of 3. Substitute this for m and the slope-intercept<BR>\n" );
document.write( "equation becomes:<BR>\n" );
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document.write( "y = 3x + b<BR>\n" );
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document.write( "Next you are told that the point (2, -3) is on the graph. Therefore, when x = 2 and y = -3<BR>\n" );
document.write( "the equation is satisfied. So you can substitute these values and solve for b. Let x = 2<BR>\n" );
document.write( "and y = -3 and you get:<BR>\n" );
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document.write( "-3 = 3(2) + b<BR>\n" );
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document.write( "Multiply out the right side to get:<BR>\n" );
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document.write( "-3 = 6 + b<BR>\n" );
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document.write( "get rid of the +6 on the right side by subtracting 6 from both sides to reduce the equation to:<BR>\n" );
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document.write( "- 9 = b<BR>\n" );
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document.write( "Return to the slope-intercept form and recognize that m = 3 and b = -9 and you have the<BR>\n" );
document.write( "equation:<BR>\n" );
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document.write( "y = 3x - 9<BR>\n" );
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document.write( "This is the answer. You can also use the equation:<BR>\n" );
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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" );
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document.write( "in which <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;\" > and <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;\" > are from the given point on the equation. Substituting<BR>\n" );
document.write( "2 for <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;\" > and -3 for <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;\" > and 3 for m results in the equation becoming:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+%28-3%29+=+3%28x+-2%29 ALIGN=MIDDLE  ALT=\"y+-+%28-3%29+=+3%28x+-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "which simplifies to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%2B+3+=+3x+-+6 ALIGN=MIDDLE  ALT=\"y+%2B+3+=+3x+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Subtracting 3 from both sides to get rid of the 3 on the left side further reduces the<BR>\n" );
document.write( "equation to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3x+-+9 ALIGN=MIDDLE  ALT=\"y+=+3x+-+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "which is the same answer that we got previously.<BR>\n" );
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document.write( "Hope these two ways of solving this problem are of use to you in understanding the problem<BR>\n" );
document.write( "and how to get the answer.<BR>\n" );
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