document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79518>Question 79518</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello out there,I have some point-slope problems that I need help with,the first one is,Write the point-slope form of the line that passes through (4,-1) with the slope of 2.The next one is,Write the point-slope form of the line that passes through (3,-3)and (5,1).The third one is,Write an equation in slope-intercept form of the line having the given slope and passing through the given point:m=-3,(4,-1).And the last one is,Write an equation in slope-intercept form of the line having the given slope and passing through the given point:m=0,(0,-3).Thank you to whoever can help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57213 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=57213\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The slope of a line is the change in Y divided by the change in X, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=delta%28y%29%2Fdelta%28x%29 ALIGN=MIDDLE  ALT=\"delta%28y%29%2Fdelta%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In the first part, you are given the slope, m, and a single point. So from that information, you know that <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=delta%28y%29%2Fdelta%28x%29=%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"m=delta%28y%29%2Fdelta%28x%29=%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=%28y2-%28-1%29%29%2F%28x2-4%29 ALIGN=MIDDLE  ALT=\"2=%28y2-%28-1%29%29%2F%28x2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=%28y2%2B1%29%2F%28x2-4%29 ALIGN=MIDDLE  ALT=\"2=%28y2%2B1%29%2F%28x2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, you just have to re-write it in the point-slope form, which involves just re-writing the y2 and X2 as y and x respectively and solving for the y+1 term:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=%28y%2B1%29%2F%28x-4%29 ALIGN=MIDDLE  ALT=\"2=%28y%2B1%29%2F%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y%2B1=%282%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y%2B1=%282%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that I have shown you how to write a line in point-slope form, you should be able to do the second part.<BR>\n" );
document.write( "-------------------------------------------------------------<BR>\n" );
document.write( "Write an equation in slope-intercept form of the line having the given slope and passing through the given point:m=-3,(4,-1)<BR>\n" );
document.write( "Recall tha slope-intercept forn of a line is:<BR>\n" );
document.write( "<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=slope and b=Y-intercept.<BR>\n" );
document.write( "So, your first step is to find the Y-intercept:<BR>\n" );
document.write( "Remember that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=delta%28y%29%2Fdelta%28x%29=%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"m=delta%28y%29%2Fdelta%28x%29=%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3=%28y2-%28-1%29%29%2F%28x2-4%29 ALIGN=MIDDLE  ALT=\"-3=%28y2-%28-1%29%29%2F%28x2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The Y-intercept is the point where x2=0. So, equate x2 to zero in the above equation and solve for y2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3=%28y2%2B1%29%2F%28-4%29 ALIGN=MIDDLE  ALT=\"-3=%28y2%2B1%29%2F%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12=y2%2B1 ALIGN=MIDDLE  ALT=\"12=y2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y2=11.<BR>\n" );
document.write( "So now that you know the slope and the Y-intercept, it is easy to write the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-3x%2B11%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-3x%2B11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "With this information, you should be able to do the last part of the problem yourself.<BR>\n" );
document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com </SPAN>\n" );
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