document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69964>Question 69964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line using this information\r<BR>\n" );
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document.write( "a )  slope=2, y-intercept 0<BR>\n" );
document.write( "b)   slope 6, passing through (-4,7)\r<BR>\n" );
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document.write( "please help me with this equation\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49869 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=49869\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation for a graph that has a slope = 2 and a y-intercept of 0<BR>\n" );
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document.write( "The definition of the slope-intercept form of an equation is y = mx + b <BR>\n" );
document.write( "in which <BR>\n" );
document.write( "m is the slope and b is the y-intercept.\r<BR>\n" );
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document.write( "All you have to do now is substitute the given values of +2 for m and 0 for +b.  This makes <BR>\n" );
document.write( "the equation that you are looking for: y = +2x + 0 which reduces to just y = +2x\r<BR>\n" );
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document.write( "........<BR>\n" );
document.write( "Write the equation for a graph that has a slope of 6 and passes through (-4,7).\r<BR>\n" );
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document.write( "You can again use the slope-intercept form: \r<BR>\n" );
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document.write( "y = mx + b\r<BR>\n" );
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document.write( "Substitute the given slope for m to get:\r<BR>\n" );
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document.write( "y = 6x + b\r<BR>\n" );
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document.write( "You also given that when x = -4 and y = +7 it satisfies the equation.  Substituting<BR>\n" );
document.write( "these two values into the equation result in:\r<BR>\n" );
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document.write( "7 = (6)*(-4) + b\r<BR>\n" );
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document.write( "After the multiplication you have:\r<BR>\n" );
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document.write( "7 = -24 + b\r<BR>\n" );
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document.write( "Solve this equation for b by adding 24 to both sides to get:\r<BR>\n" );
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document.write( "31 = 0 + b\r<BR>\n" );
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document.write( "which becomes just b = +31\r<BR>\n" );
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document.write( "Return to the equation y = 6x + b and substitute +31 for b.  When you do the equation<BR>\n" );
document.write( "that has a slope of 6 and goes through the point (-4,+7) becomes:\r<BR>\n" );
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document.write( "y = 6x + 31\r<BR>\n" );
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document.write( "Hope this gives you a little insight into graphing equations of the slope-intercept<BR>\n" );
document.write( "form.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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