document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104045>Question 104045</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618317821/algebrahomeworkh>Algebra and Trigonometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hello, could someone help me on this problem please? Thank you for your help.<BR>\n" );
document.write( "problem #68: Find the slope-intercept form of the equation of the line passing through the points. Sketch the line. <BR>\n" );
document.write( "Points: (4,3) (-4,-4)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75732 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=75732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The general form is y = mx+b where m is the slope and b is the y-intercept.<BR>\n" );
document.write( "Let's first find the slope using the slope formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > The <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;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D ALIGN=MIDDLE  ALT=\"x%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D ALIGN=MIDDLE  ALT=\"y%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > are the coordinates of the given points (4, 3) and (-4, -4).<BR>\n" );
document.write( "Making the appropriate substitutions, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28-4-3%29%2F%28-4-4%29 ALIGN=MIDDLE  ALT=\"m+=+%28-4-3%29%2F%28-4-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28-7%29%2F-8 ALIGN=MIDDLE  ALT=\"m+=+%28-7%29%2F-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+7%2F8 ALIGN=MIDDLE  ALT=\"m+=+7%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So we can write the first step of the equation using the slope:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%287%2F8%29x%2Bb ALIGN=MIDDLE  ALT=\"y+=+%287%2F8%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now we need to find the value of b, the y-intercept.<BR>\n" );
document.write( "This is done by substituting, in the preceding equation, the x- and y-coordinates of either one of the two given points. Let's use point (4, 3) in which x = 4 and y = 3.  Making the appropriate substitutions, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+%287%2F8%29%284%29%2Bb ALIGN=MIDDLE  ALT=\"3+=+%287%2F8%29%284%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+7%2F2+%2B+b ALIGN=MIDDLE  ALT=\"3+=+7%2F2+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 7/2 from both sides. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F2+-+7%2F2+=+b ALIGN=MIDDLE  ALT=\"6%2F2+-+7%2F2+=+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-1%2F2 ALIGN=MIDDLE  ALT=\"b+=+-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we can write the final equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%287%2F8%29x-1%2F2 ALIGN=MIDDLE  ALT=\"y+=+%287%2F8%29x-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Here's the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C400%2C-5%2C5%2C-5%2C5%2C%287%2F8%29x-2%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C400%2C-5%2C5%2C-5%2C5%2C%287%2F8%29x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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