document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=484766>Question 484766</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a coordinate system, how can we get an equation? for example, a slope intersects X at (3,0) & Y at (0,2). whats the equation of line?\r<BR>\n" );
document.write( "\n" );
document.write( "A) 2x-3y=6<BR>\n" );
document.write( "B) 2x+3y=6<BR>\n" );
document.write( "C) 2x+2y=6<BR>\n" );
document.write( "D) 2x+3y= -6<BR>\n" );
document.write( "E) 3x+2y= -6\r<BR>\n" );
document.write( "\n" );
document.write( "explain pls. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #331751 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=331751\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a coordinate system, how can we get an equation? for example, a slope intersects X at (3,0) & Y at (0,2). whats the equation of line? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using the slope intercept form: y = mx + b<BR>\n" );
document.write( "\"a slope intersects X at (3,0)\"<BR>\n" );
document.write( "m(3) + b = 0<BR>\n" );
document.write( "3m + b = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Y at (0,2). <BR>\n" );
document.write( "0m + b = 2<BR>\n" );
document.write( "b = 2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Rewrite the 1st equation, replacing b with 2<BR>\n" );
document.write( "3m + 2 = 0<BR>\n" );
document.write( "3m = -2<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F3 ALIGN=MIDDLE  ALT=\"-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so our equation is: y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F3 ALIGN=MIDDLE  ALT=\"-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 2, in the slope/intercept form<BR>\n" );
document.write( ":<BR>\n" );
document.write( "But they want it in standard form, so rearrange it to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + y = 2<BR>\n" );
document.write( "without fractions, so multiply the eq by 3, results:<BR>\n" );
document.write( "2x + 3y = 6, (which is (B )<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can confirm this by substituting the given x and y coordinates <BR>\n" );
document.write( "3,0<BR>\n" );
document.write( "2(3) + 3(0)= 6<BR>\n" );
document.write( "6 = 6<BR>\n" );
document.write( "and<BR>\n" );
document.write( "0,2<BR>\n" );
document.write( "2(0) + 3(2) = 6<BR>\n" );
document.write( "6 = 6 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );