document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105887>Question 105887</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534493947/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hello Tutors, I need your help here Please. I can not for the life of me figure out how to use your solvers to make my decision on this problem.\r<BR>\n" );
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document.write( "Q: I need to determine if the points (3,8),(0,7), and (3,6) lie on the line y= 1/3x +7??? Can you help me decide if it does or not? Thank You so much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77057 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=77057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given that the equation of a line is <BR>\n" );
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document.write( "y = (1/3)x + 7<BR>\n" );
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document.write( "To find if a point lies on this line substitute the x-value of the point for x in the equation<BR>\n" );
document.write( "and substitute the y-value of the point into the equation. If both sides of the equation<BR>\n" );
document.write( "are equal, then the point satisfies the equation and therefore lies on the line.<BR>\n" );
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document.write( "Let's try the point (3, 8). In the given equation substitute 3 for x and 8 for y. When you<BR>\n" );
document.write( "do the equation becomes:<BR>\n" );
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document.write( "8 = (1/3)*3 + 7<BR>\n" );
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document.write( "On the right side when you multiply 3 times (1/3) the result is 1. This makes the equation<BR>\n" );
document.write( "become:<BR>\n" );
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document.write( "8 = 1 + 7 or 8 = 8<BR>\n" );
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document.write( "Since the equation is true for the point (3, 8), the point lies on the line.<BR>\n" );
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document.write( "Let's try the second point (0, 7). In the equation let x = 0 and y = 7. Substituting <BR>\n" );
document.write( "these values into the equation results in:<BR>\n" );
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document.write( "7 = (1/3)*0 + 7<BR>\n" );
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document.write( "The multiplication of (1/3) times zero results in zero ... So the equation becomes:<BR>\n" );
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document.write( "7 = 0 + 7 <BR>\n" );
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document.write( "The left side equals the right side so the point (0, 7) is on the line.<BR>\n" );
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document.write( "Try the last point (3, 6). You should be able to prove to yourself that the point does<BR>\n" );
document.write( "NOT lie on the line because when you let x = 3 and y = 6 in the equation, both sides of<BR>\n" );
document.write( "the equation are not equal. <BR>\n" );
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document.write( "Hope this helps you to understand the problem. </SPAN>\n" );
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