document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=553682>Question 553682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i do.... write an equation of the lin in Plot-slope form that passes through the givin point and has the givin slope,, then convert the point slope equation into Slope- Intercept form </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #360986 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=360986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> EXAMPLE<BR>\n" );
document.write( "Let's say you're looking for the equation of a line that passes trough the point (2,1) with slope 1/4. Consider the point given, and a generic point (x,y) on the same line.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-1%2C5%2C-1%2C5%2C%0D%0Agrid%281%29%2C%0D%0Aline%28-2%2C0%2C6%2C2%29%2C%0D%0Ared%28circle%282%2C1%2C0.1%29%29%2C%0D%0Ablue%28circle%284.4%2C1.6%2C0.1%29%29%2C%0D%0Alocate%282%2C1%2C%22%282%2C1%29%22%29%2C+locate%284x1.5%2C+%22%28x%2Cy%29%22%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > According to the definition of slope, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-1%29%2F%28x-2%29=1%2F4 ALIGN=MIDDLE  ALT=\"%28y-1%29%2F%28x-2%29=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiplying both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2 ALIGN=MIDDLE  ALT=\"x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-1=%281%2F4%29%28x-2%29 ALIGN=MIDDLE  ALT=\"y-1=%281%2F4%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--This is the point-slope equation found.<BR>\n" );
document.write( "Applying the distributive property to simplify the product, and solving for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-1=%281%2F4%29x-2%281%2F4%29 ALIGN=MIDDLE  ALT=\"y-1=%281%2F4%29x-2%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-1=%281%2F4%29x-%281%2F2%29 ALIGN=MIDDLE  ALT=\"y-1=%281%2F4%29x-%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F4%29x%2B1-%281%2F2%29 ALIGN=MIDDLE  ALT=\"y=%281%2F4%29x%2B1-%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And that simplifies into the slope intercept-form of the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F4%29x%2B1%2F2 ALIGN=MIDDLE  ALT=\"y=%281%2F4%29x%2B1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "IN GENERAL<BR>\n" );
document.write( "The point-slope form of the equation can be derived from the calculation of the slope between any point (x,y) on the line, and the point given.<BR>\n" );
document.write( "Solving that point-slope equation for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > you find the slope-intercept form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=slope%2Ax%2Bintercept ALIGN=MIDDLE  ALT=\"y=slope%2Ax%2Bintercept\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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