document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110172>Question 110172</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073052816/algebrahomeworkh>Beginning and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line with slope 12 that goes through the point (-1,4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80269 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=80269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One way to solve this problem is to use the slope-intercept form of an equation. The slope-<BR>\n" );
document.write( "intercept form is:<BR>\n" );
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document.write( "y = mx + b<BR>\n" );
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document.write( "where m is the slope and b is the value on the y-axis at which the graph intersects the<BR>\n" );
document.write( "y axis.<BR>\n" );
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document.write( "This problem tells you that the slope is +12. You can substitute this into the slope-intercept <BR>\n" );
document.write( "form and the equation becomes:<BR>\n" );
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document.write( "y = 12x + b<BR>\n" );
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document.write( "The problem also tells you that the point (-1, 4) is on the graph. This tells you that<BR>\n" );
document.write( "when x is -1 and y is 4, the equation works. If you substitute these values for x and y<BR>\n" );
document.write( "in the equation, you get:<BR>\n" );
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document.write( "4 = 12*(-1) + b<BR>\n" );
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document.write( "Multiplying out the right side results in the equation:<BR>\n" );
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document.write( "4 = -12 + b<BR>\n" );
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document.write( "Get rid of the -12 on the right side by adding 12 to both sides. This makes the equation:<BR>\n" );
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document.write( "16 = b<BR>\n" );
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document.write( "[This tells you that the graph crosses the y-axis at the value +16]<BR>\n" );
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document.write( "Now that we know b = +16 we can substitute that into our equation and it becomes:<BR>\n" );
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document.write( "y = 12x + 16<BR>\n" );
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document.write( "This is the equation for a line that has a slope of 12 and goes through the point (-1, 4).<BR>\n" );
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document.write( "You can now get other points on the line by assigning values to x and calculating the<BR>\n" );
document.write( "corresponding value of y. For example, let x = 5. Then the corresponding value of y equals<BR>\n" );
document.write( "12*5 + 16 = 60 + 16 = 76. So the point (5, 76) is on the line.<BR>\n" );
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document.write( "Hope this helps you to understand the problem and how to solve it.<BR>\n" );
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document.write( " </SPAN>\n" );
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