document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148190>Question 148190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph and Solve:\r<BR>\n" );
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document.write( "equation: y=3x-5\r<BR>\n" );
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document.write( "3points:\r<BR>\n" );
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document.write( "Slope:\r<BR>\n" );
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document.write( "x intercept:\r<BR>\n" );
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document.write( "y intercept: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108584 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=108584\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equation: y=3x-5<BR>\n" );
document.write( "3points: ?<BR>\n" );
document.write( "Slope: ?<BR>\n" );
document.write( "x intercept: ?<BR>\n" );
document.write( "y intercept: ?\r<BR>\n" );
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document.write( "The y intercept and the slope are given in the equation.  y=mx+b is slope-intercept form. mx is the slope and b is the y intercept. so in y=3x-5, 3x is the slope and -5 is the y intercept (what y is when x is zero).\r<BR>\n" );
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document.write( "equation: y=3x-5<BR>\n" );
document.write( "3points: ?<BR>\n" );
document.write( "Slope: 3x<BR>\n" );
document.write( "x intercept: ?<BR>\n" );
document.write( "y intercept: -5\r<BR>\n" );
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document.write( "To find the x intercept, find what x is when y is zero.  That means take the original equation and plug in zero for y. Like so: 0=3x-5.  Then solve for x and get 5/3.  That is the x intercept.\r<BR>\n" );
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document.write( "equation: y=3x-5<BR>\n" );
document.write( "3points: ?<BR>\n" );
document.write( "Slope: 3x<BR>\n" );
document.write( "x intercept: 5/3<BR>\n" );
document.write( "y intercept: -5\r<BR>\n" );
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document.write( "To find three points, plug in another value for x. You already have two points, the y-intercept (0,-5) and the x-intercept (5/3,0). Plug in one more value for x or y.  How about x=3? y=3(3)-5 or y=9-5. y=4. So your third point would be (3,4)\r<BR>\n" );
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document.write( "equation: y=3x-5<BR>\n" );
document.write( "3points: (0,-5) (5/3,0) (3,4)<BR>\n" );
document.write( "Slope: 3x<BR>\n" );
document.write( "x intercept: 5/3<BR>\n" );
document.write( "y intercept: -5\r<BR>\n" );
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document.write( "Graph:<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=describe_linear_equation.solver>DESCRIBE a linear EQUATION: slope, intercepts, etc</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3+x+%2B+1+y+=+-5 ALIGN=MIDDLE  ALT=\"-3+x+%2B+1+y+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > describes a sloping line. For any <BR>\n" );
document.write( "  equation ax+by+c = 0, slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2Fb+=+--3%2F1 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+--3%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<UL><LI>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x =  c/a. -5/-3 = 1.66666666666667.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -5/1 = -5.</LI><LI>Slope is --3/1 = 3.</LI><LI> Equation in slope-intercept form: y=3*x+-5.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+1.66666666666667-8%2C+1.66666666666667%2B8%2C+-5-8%2C+-5%2B8%2C+3%2Ax%2B-5+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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