document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=157640>Question 157640</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078656095/algebrahomeworkh>algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> write an equation in slope-intercept form for the line that satisfies the following condition.  slope 1/3and passes through (3,9) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #116178 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><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=116178\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help<BR>\n" );
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document.write( "write an equation in slope-intercept form for the line that satisfies the following condition. slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and passes through (3,9)<BR>\n" );
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document.write( "The slope intercept form of an equation is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+mx+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+mx+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where \"m\" is the slope, \"b\" is the y intercept.<BR>\n" );
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document.write( "We know the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so we can replace \"m\" with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in our equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+mx+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+mx+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F3%29x+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F3%29x+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, now we have to find \"b\"<BR>\n" );
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document.write( "We now a point on the line, point (3,9), and because points are given as (x,y), we can use the point to solve for \"b\"<BR>\n" );
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document.write( "If the point is (3,9)(x,y), all we need to do is replace \"x\" and \"y\" in our equation, with the numbers(replace \"x\" with \"3\", replace \"y\" with \"9\")<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F3%29x+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F3%29x+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%29+=+%281%2F3%29%283%29+%2B+b+ ALIGN=MIDDLE  ALT=\"+%289%29+=+%281%2F3%29%283%29+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%29+=+%281%2F3%29%283%29+%2B+b+ ALIGN=MIDDLE  ALT=\"+%289%29+=+%281%2F3%29%283%29+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%29+=+%281%29+%2B+b+ ALIGN=MIDDLE  ALT=\"+%289%29+=+%281%29+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%29+=+%281%29+%2B+b+ ALIGN=MIDDLE  ALT=\"+%289%29+=+%281%29+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+=+1+%2B+b+ ALIGN=MIDDLE  ALT=\"+9+=+1+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to find \"b\" we will move \"1\" to the left side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+=+1+%2B+b+ ALIGN=MIDDLE  ALT=\"+9+=+1+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+-+1+=+1+-+1+%2B+b+ ALIGN=MIDDLE  ALT=\"+9+-+1+=+1+-+1+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+-+1+=+1+-+1+%2B+b+ ALIGN=MIDDLE  ALT=\"+9+-+1+=+1+-+1+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+=+b+ ALIGN=MIDDLE  ALT=\"+8+=+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+8+ ALIGN=MIDDLE  ALT=\"+b+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We found that \"b\" = \"8\", we can replace \"b\" with \"8\" in our equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F3%29x+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F3%29x+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F3%29x+%2B+8+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F3%29x+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F3%29x+%2B+8+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F3%29x+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the slope-intercept form/equation of the line<BR>\n" );
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document.write( "We can check our answer by replacing \"x\" and \"y\" with (3,9)(x,y) in our equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F3%29x+%2B+8+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F3%29x+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%29+=+%281%2F3%29%283%29+%2B+8+ ALIGN=MIDDLE  ALT=\"+%289%29+=+%281%2F3%29%283%29+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%29+=+%281%2F3%29%283%29+%2B+8+ ALIGN=MIDDLE  ALT=\"+%289%29+=+%281%2F3%29%283%29+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%29+=+%281%29+%2B+8+ ALIGN=MIDDLE  ALT=\"+%289%29+=+%281%29+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%29+=+%281%29+%2B+8+ ALIGN=MIDDLE  ALT=\"+%289%29+=+%281%29+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+=+1+%2B+8+ ALIGN=MIDDLE  ALT=\"+9+=+1+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+=+9+ ALIGN=MIDDLE  ALT=\"+9+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (True)<BR>\n" );
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document.write( "We can also find that the y intercept(where the line hits the y-axis) is (0,8), another point on the line,<BR>\n" );
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document.write( "We can check by replacing \"x\" and \"y\" with (0,8)(x,y),<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F3%29x+%2B+8+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F3%29x+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288%29+=+%281%2F3%29%280%29+%2B+8+ ALIGN=MIDDLE  ALT=\"+%288%29+=+%281%2F3%29%280%29+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288%29+=+%281%2F3%29%280%29+%2B+8+ ALIGN=MIDDLE  ALT=\"+%288%29+=+%281%2F3%29%280%29+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288%29+=+%280%29+%2B+8+ ALIGN=MIDDLE  ALT=\"+%288%29+=+%280%29+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288%29+=+%280%29+%2B+8+ ALIGN=MIDDLE  ALT=\"+%288%29+=+%280%29+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+=+0+%2B+8+ ALIGN=MIDDLE  ALT=\"+8+=+0+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+=+8+ ALIGN=MIDDLE  ALT=\"+8+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (True)<BR>\n" );
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document.write( "The slope-intercept form/equation of the line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%281%2F3%29x+%2B+8+ ALIGN=MIDDLE  ALT=\"+y+=+%281%2F3%29x+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope I helped, Levi<BR>\n" );
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