document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213723>Question 213723</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0030953561/algebrahomeworkh>algebra one interactions course 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> use x- and y intercepts to draw the graph for 3x - y = 6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161454 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=161454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use x- and y intercepts to draw the graph for 3x - y = 6\r<BR>\n" );
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document.write( "Step 1.  The y-intercept occurs when x=0.  We have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A0-y=6 ALIGN=MIDDLE  ALT=\"3%2A0-y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-6 ALIGN=MIDDLE  ALT=\"y=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > so we have (0,-6) as one point on the line\r<BR>\n" );
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document.write( "Step 2.  The x-intercept occurs when y=0.  We have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-0=6 ALIGN=MIDDLE  ALT=\"3x-0=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "{{x=2}}}  so we have (2,0) as another point on the line.\r<BR>\n" );
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document.write( "Step 3.   Using these points, we can graph as follows:\r<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+=+6 ALIGN=MIDDLE  ALT=\"3+x+%2B+-1+y+=+6\"   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%2F-1 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+-3%2F-1\"   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. 6/3 = 2.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 6/-1 = -6.</LI><LI>Slope is -3/-1 = 3.</LI><LI> Equation in slope-intercept form: y=3*x+-6.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+2-8%2C+2%2B8%2C+-6-8%2C+-6%2B8%2C+3%2Ax%2B-6+%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+2-8%2C+2%2B8%2C+-6-8%2C+-6%2B8%2C+3%2Ax%2B-6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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document.write( "Step 4.  Observe the points (2,0) and (0,-6) that are on the line and how it intercepts the axis.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J </SPAN>\n" );
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