document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135207>Question 1135207</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My math teacher has asked us this one complex question for points, just for fun, but it counts for points.  Can someone help?  I'm so stressed out!\r<BR>\n" );
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document.write( "Consider an equation of a line written in standard form:  4x  -  2y  =  8. Also consider a point (4, 2) that is not on that line.<BR>\n" );
document.write( "(a) Find the equation of the line that is parallel to 4x  -  2y  =  8  and passes through the point ( 4, 2).<BR>\n" );
document.write( "      Write the equation is all four forms: slope-intercept, point-slope, standard, and two-point forms.<BR>\n" );
document.write( "(b) Find the equation of the line that is perpendicular to 4x  -  2y  =  8  and passes through the point ( 4, 2).<BR>\n" );
document.write( "      Write the equation is all four forms: slope-intercept, point-slope, standard, and two-point forms.<BR>\n" );
document.write( "(c) Graph all three lines on the same coordinate axis.<BR>\n" );
document.write( "      For all three lines, graph four (4) points for each line; twelve (12) points and three (3) lines total.<BR>\n" );
document.write( "      The first point is (4, 2), the second point is of your choosing, and the third & fourth points are<BR>\n" );
document.write( "       the two intercepts (vertical and horizontal); note that (4, 2) is not on the original given line so pick another point on the first line. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #752767 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=752767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ----------<BR>\n" );
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document.write( "My math teacher has asked us this one complex question for points, just for fun, but it counts for points. Can someone help? I'm so stressed out! <BR>\n" );
document.write( "Consider an equation of a line written in standard form: 4x - 2y = 8. Also consider a point (4, 2) that is not on that line.<BR>\n" );
document.write( "(a) Find the equation of the line that is parallel to 4x - 2y = 8 and passes through the point ( 4, 2).<BR>\n" );
document.write( "Write the equation is all four forms: slope-intercept, point-slope, standard, and two-point forms.<BR>\n" );
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document.write( "The parallel line will have the same slope as the given line, and this also means that as given in the standard form equation, the left member will be the same.  The right-member will be different.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-2y=C ALIGN=MIDDLE  ALT=\"4x-2y=C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-2y=4%2A4-2%2A2 ALIGN=MIDDLE  ALT=\"4x-2y=4%2A4-2%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-2y=12 ALIGN=MIDDLE  ALT=\"4x-2y=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "but this can also be simplified, multiplying the two members by  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282x-y=6%29 ALIGN=MIDDLE  ALT=\"highlight%282x-y=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------standard form.\r<BR>\n" );
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document.write( "Solving for y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=2x-6%29 ALIGN=MIDDLE  ALT=\"highlight%28y=2x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------slope-intercept form; and note, the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   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=highlight%28y-2=2%28x-4%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y-2=2%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----------the point-slope form equation; which comes directly from the formula for slope of a line through two points. </SPAN>\n" );
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