document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87561>Question 87561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me solve and understand this equation?\r<BR>\n" );
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document.write( "Find an equation of the line containing the given pairs of points<BR>\n" );
document.write( "(4,3) and (12,7) Y= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63499 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=63499\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Could you please help me solve and understand this equation?<BR>\n" );
document.write( "Find an equation of the line containing the given pairs of points<BR>\n" );
document.write( "(4,3) and (12,7) Y=<BR>\n" );
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document.write( "There are two formulas that you should know when dealing with slope equations:<BR>\n" );
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document.write( "1st one is the \"slope equation\": m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y2-y1%29%29%2F%28%28x2-x1%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28y2-y1%29%29%2F%28%28x2-x1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Assign the given coordinates as follows:<BR>\n" );
document.write( "x1=4, y1=3, x2=12, y2=7<BR>\n" );
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document.write( "Using the slope equation and these values, find the slope<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%287-3%29%29%2F%28%2812-4%29%29%29 ALIGN=MIDDLE  ALT=\"%28%287-3%29%29%2F%28%2812-4%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F8 ALIGN=MIDDLE  ALT=\"4%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The 2nd formula you should know is the \"point/slope equation\": y-y1 = m(x-x1)<BR>\n" );
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document.write( "Using the values: m = 1/2 or m = .5; x1=4, y1=3<BR>\n" );
document.write( "y - 3 = .5(x - 4)<BR>\n" );
document.write( "y - 3 = .5x - 2; multiplied what was in brackets<BR>\n" );
document.write( "y = .5x - 2 + 3; added 3 to both sides<BR>\n" );
document.write( "y = .5x + 1; is the equation derived from the given coordinates<BR>\n" );
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document.write( "You can always check the equation by substituting the value for x and seeing if the gives you the given value for y:<BR>\n" );
document.write( "Using x=4 and y = 3<BR>\n" );
document.write( "y = .5(4) + 1<BR>\n" );
document.write( "y = 2 + 1<BR>\n" );
document.write( "y = 3<BR>\n" );
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document.write( "You can do the same with the 2nd set of coordinates.<BR>\n" );
document.write( "Using x = 12, y = 7<BR>\n" );
document.write( "y = .5(12) + 1<BR>\n" );
document.write( "y = 6 + 1<BR>\n" );
document.write( "y = 7<BR>\n" );
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document.write( "I tried to explain this step by step, let me know if it helped you understand it. </SPAN>\n" );
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