document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61639>Question 61639</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395937760/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me write an equation of the line that has the given x-intercept and slope:\r<BR>\n" );
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document.write( "               x-intercept = 2, m = -2/3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42426 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=42426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can start by writing the general slope-intercept form of a linear equation:<BR>\n" );
document.write( "y = mx + b where: m is the slope and b is the y-intercept. You have been given the slope, m = -2/3, so you can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-2%2F3%29x+%2B+b ALIGN=MIDDLE  ALT=\"y+=+%28-2%2F3%29x+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > So far, so good!  But now you need to find the value of b, the y-intercept.  You can do this because you have been given the x-intercept, x = 2 and because you know that the x-intercept is where the line intersects (crosses) the x-axis and the y-coordinate at this point is y = 0.<BR>\n" );
document.write( "So the x-intercept has the coordinates: (2, 0).  This allows you to find b,in the equation because you can substitute the x- and y-coordinates of this point into the equation and solve for b.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+%28-2%2F3%292+%2B+b ALIGN=MIDDLE  ALT=\"0+=+%28-2%2F3%292+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solving this for b, you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+4%2F3 ALIGN=MIDDLE  ALT=\"b+=+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > So now you can write the final equation of the line in the slope-intercept form: y = mx + b\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-2%2F3%29x+%2B+4%2F3 ALIGN=MIDDLE  ALT=\"y+=+%28-2%2F3%29x+%2B+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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