document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=282218>Question 282218</A>: <I><SPAN STYLE=\"word-break: break-all;\"> through (7,2) parallel to 3x-y=8<BR>\n" );
document.write( "written in slope intercept form and standard form? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204935 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=204935\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, get the main equation into slope-intercept form:  y = mx + b<BR>\n" );
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document.write( "3x -y = 8<BR>\n" );
document.write( "-y = -3x +8<BR>\n" );
document.write( "y = 3x - 8<BR>\n" );
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document.write( "Second, you recall that any line with slope = 3 will be parallel to this line.<BR>\n" );
document.write( "Your problem is define such a line that goes through the point (7,2).<BR>\n" );
document.write( "Well, plug x=7 into the equation and then adjust 'b' to make y=2.<BR>\n" );
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document.write( "y = 3x -b<BR>\n" );
document.write( "2 = 3(7) -b<BR>\n" );
document.write( "2 = 21 -b<BR>\n" );
document.write( "-19 = -b<BR>\n" );
document.write( "b = 19<BR>\n" );
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document.write( "so,<BR>\n" );
document.write( "y = 3x -19  will be parallel and will go through the point.<BR>\n" );
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document.write( "Check by graphing the two equations.  y=3x-8 is red; y=3x-19 is green.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C3%2Ax-8%2C3%2Ax-19%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C3%2Ax-8%2C3%2Ax-19%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Rechecking the question, this equation needs to be shown in slope-intercept and in standard form.<BR>\n" );
document.write( "y = 3x-19  :: slope-intercept form<BR>\n" );
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document.write( "Standard form is:  Ax + By = C<BR>\n" );
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document.write( "subtract 3x from both sides<BR>\n" );
document.write( "-3x + y = -19<BR>\n" );
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document.write( "multiply both sides by -1<BR>\n" );
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document.write( "3x -y = 19  :: standard form<BR>\n" );
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document.write( "Done </SPAN>\n" );
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