document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257981>Question 257981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trying to help the children with homework. Cartesian Coordinate System. If I can see one problem finished I maybe able to understand.<BR>\n" );
document.write( "Directions: Slope form both points<BR>\n" );
document.write( "            2nd point slope form and verify<BR>\n" );
document.write( "            Write in standard form<BR>\n" );
document.write( "            Label and intercept<BR>\n" );
document.write( "1. (4,7) (8,3)<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189844 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=189844\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cartesian coordinate system just means on graph paper where  there is an x and y.<BR>\n" );
document.write( "You aren't real clear what you want. But based on the words you used I assume you want the slope form and standard form of an equation that has those two points.<BR>\n" );
document.write( "Something to remember : There are an infinite number of equations that have those points.<BR>\n" );
document.write( "given :(4,7) and (8,3)<BR>\n" );
document.write( "formulas<BR>\n" );
document.write( "standard form ax+by+c=0<BR>\n" );
document.write( "slope form y=mx+b the b's are not the same!<BR>\n" );
document.write( "In y=mx+b m is the slope and b is the y intercept (y when x=0)\r<BR>\n" );
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document.write( "To find the slope, we use (y-y)/(x-x)= m the slope<BR>\n" );
document.write( "The slope is the gradient or incline or slant of the line.<BR>\n" );
document.write( "our y's are 7 and 3<BR>\n" );
document.write( "our x's are 4 and 8<BR>\n" );
document.write( "Just keep the first and second in their place.<BR>\n" );
document.write( "7-3/4-8=4/-4=-1 <BR>\n" );
document.write( "our slope is -1 which means the line slants down from left to right.<BR>\n" );
document.write( "Now we have y=-1x+b<BR>\n" );
document.write( "y=-x+b<BR>\n" );
document.write( "now pick either point and plug in the x and y<BR>\n" );
document.write( "(4,7) x=4 y=7<BR>\n" );
document.write( "7=-4+b<BR>\n" );
document.write( "add 4 to both sides<BR>\n" );
document.write( "11=b<BR>\n" );
document.write( "now we have all the info needed.<BR>\n" );
document.write( "y=-x+11 is the slope intercept form<BR>\n" );
document.write( "when x=0 then  y=11<BR>\n" );
document.write( "Now to get the standard form in the form ax+by+c=0\r<BR>\n" );
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document.write( "We want everything on one side<BR>\n" );
document.write( "y=-x+11<BR>\n" );
document.write( "add x and subtract 11<BR>\n" );
document.write( "y+x-11=0<BR>\n" );
document.write( "almost done<BR>\n" );
document.write( "we need x first so we rearrange.<BR>\n" );
document.write( "x+y-11=0 is the standard form\r<BR>\n" );
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document.write( "I don't know what \"Label and intercept\" means.<BR>\n" );
document.write( "Label what and intercept what?<BR>\n" );
document.write( "Do you need a graph too? and need to label the intercepts?<BR>\n" );
document.write( "I suspect you copied something incorrectly. </SPAN>\n" );
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