document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115946>Question 115946</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of each equation.\r<BR>\n" );
document.write( "\n" );
document.write( "(-5,-4),2x+3y=-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #84378 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=84378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a point-slope problem.  You are given a point, and enough information to determine the slope, because you are given a parallel line and we know that the slopes of parallel lines are equal.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3y=-1 ALIGN=MIDDLE  ALT=\"2x%2B3y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  In order to find the slope of a line, solve the equation for y which puts the equation into slope-intercept form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > where m is the slope and b is the y-intercept.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=-2x-1 ALIGN=MIDDLE  ALT=\"3y=-2x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28%28-2%29%2F3%29x-1%2F3 ALIGN=MIDDLE  ALT=\"y=%28%28-2%29%2F3%29x-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  so now we know that the slope of the line we are trying to define is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2%29%2F3%29 ALIGN=MIDDLE  ALT=\"%28%28-2%29%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Knowing a point on the line and the slope, we can now use the point-slope form of the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-y%5B1%5D%29=m%28x-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"%28y-y%5B1%5D%29=m%28x-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to write the equation directly.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-5%29=%28%28-2%29%2F3%29%28x-%28-4%29%29 ALIGN=MIDDLE  ALT=\"y-%28-5%29=%28%28-2%29%2F3%29%28x-%28-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the equation of the specified line, but it needs to be simplified\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=%28-2%2F3%29%28x%2B4%29 ALIGN=MIDDLE  ALT=\"y%2B5=%28-2%2F3%29%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, you can put it into standard form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%2Bby=c ALIGN=MIDDLE  ALT=\"ax%2Bby=c\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2B15=-2x-8 ALIGN=MIDDLE  ALT=\"3y%2B15=-2x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3y=-23 ALIGN=MIDDLE  ALT=\"2x%2B3y=-23\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Or, you could put it into slope-intercept form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2%2F3%29x-%2823%2F3%29 ALIGN=MIDDLE  ALT=\"y=%28-2%2F3%29x-%2823%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Notice that the standard form differs from the given equation only in the constant term.  This should give you a clue to the relationship between the coefficients on the x and y terms in a standard form equation and the slope of the line.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C%28-2%2F3%29x-%281%2F3%29%2C%28-2%2F3%29x-%2823%2F3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );