document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248693>Question 248693</A>: <I><SPAN STYLE=\"word-break: break-all;\"> whats the equation and graph for this: m=1/2, goes through (-6,1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181209 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=181209\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the equation for a line is y=mx+b<BR>\n" );
document.write( "we have x,y, and m but not b<BR>\n" );
document.write( "so we are solving for b\r<BR>\n" );
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document.write( "so we plug in your info<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "1=1/2*(-6)+b<BR>\n" );
document.write( "1=-3+b<BR>\n" );
document.write( "add 3 to both sides<BR>\n" );
document.write( "4=b<BR>\n" );
document.write( "so now we write the equation <BR>\n" );
document.write( "y=(1/2)*m+4<BR>\n" );
document.write( "or y=m/2+4<BR>\n" );
document.write( "to graph the line we need at least to points<BR>\n" );
document.write( "we have (-6,1)<BR>\n" );
document.write( "we need another<BR>\n" );
document.write( "we have two choices.<BR>\n" );
document.write( "we know that when x=0 y=4 from the equation y=mx+4<BR>\n" );
document.write( "b is called the y intercept<BR>\n" );
document.write( "we also know that we can find another point on the line by using the slope\r<BR>\n" );
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document.write( "if we plot (-6,1) we know that for every y x increases two <BR>\n" );
document.write( "add one to y and 2 to x\r<BR>\n" );
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document.write( "so we can go (-4,2)<BR>\n" );
document.write( "let's see if that works in our equation<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "2=-4(/2)+4<BR>\n" );
document.write( "2=-2+4<BR>\n" );
document.write( "2=2<BR>\n" );
document.write( "yes <BR>\n" );
document.write( "so we can use (-6,1), (-4,2)  and (0,4) or any two of them<BR>\n" );
document.write( "end<BR>\n" );
document.write( "since we only need two points to plot a line<BR>\n" );
document.write( "just out of curiosity <BR>\n" );
document.write( "where would x be if y were 3<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "3=1/2(x)+4<BR>\n" );
document.write( "subtract 4 from both sides<BR>\n" );
document.write( "-1=x/2<BR>\n" );
document.write( "multiply by 2 (both sides)<BR>\n" );
document.write( "-2=x<BR>\n" );
document.write( "(-2,3)<BR>\n" );
document.write( "which fits right in to our pattern<BR>\n" );
document.write( "(-6,1), (-4,2), (-2,3),(0,4)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );