document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=224045>Question 224045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is a line parallel to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-2y=d ALIGN=MIDDLE  ALT=\"4x-2y=d\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "What is a line perpendicular to the like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7 ALIGN=MIDDLE  ALT=\"y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "What is the slope of the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%281%2F2%29 ALIGN=MIDDLE  ALT=\"x=%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "What is the slope of the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%284x-13%29%2F7 ALIGN=MIDDLE  ALT=\"y=%284x-13%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167378 by </B><A HREF=/tutors/aboutme.mpl?userid=LtAurora><B>LtAurora(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LtAurora><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=LtAurora><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=167378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is a line parallel to 4x-2y=d?<BR>\n" );
document.write( "To solve this question, it is easiest to get the equation into y-intercept form. (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "First move the 4x to the other side of the equation by subtracting it from both sides. This yields <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y=-4x%2Bd ALIGN=MIDDLE  ALT=\"-2y=-4x%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Then divide both sides by -2 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x-d%2F2 ALIGN=MIDDLE  ALT=\"y=2x-d%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Since m is our slope which equals 2, any line that has a slope of 2 would be parallel to the line in question. Thus the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-d%2F2 ALIGN=MIDDLE  ALT=\"-d%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is totally irrelevant to our solution.<BR>\n" );
document.write( "Some examples would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2B4 ALIGN=MIDDLE  ALT=\"y=2x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x-3 ALIGN=MIDDLE  ALT=\"y=2x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2B300 ALIGN=MIDDLE  ALT=\"y=2x%2B300\"   DISABLED_style= \"max-width:90%; height:auto;\" >. As long as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=2 ALIGN=MIDDLE  ALT=\"m=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > the last number, or b our y-intercept, can be any number.\r<BR>\n" );
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document.write( "What is a line perpendicular to the like y=7?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7 ALIGN=MIDDLE  ALT=\"y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a horizontal line crossing the y-axis at 7. A perpendicular line would be any line that is vertical. Examples would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=20 ALIGN=MIDDLE  ALT=\"x=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Any x= line is going to be vertical, and therefore perpendicular to a horizontal line, so x can equal any number.\r<BR>\n" );
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document.write( "What is the slope of the line x=1/2?<BR>\n" );
document.write( "An x= line is vertical. The slope of any vertical line is always going to be undefined.\r<BR>\n" );
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document.write( "What is the slope of the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%284x-13%29%2F7 ALIGN=MIDDLE  ALT=\"y=%284x-13%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "This equation is already in slope-intercept form, y=mx+b. Therefore we only bneed to determine what m, or our slope is. Since the entire equation is divided by 7, we can rewrite this as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%284%2F7%29x-%2813%2F7%29 ALIGN=MIDDLE  ALT=\"y=%284%2F7%29x-%2813%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. From here we can see that the slope, which is equal to m, is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F7 ALIGN=MIDDLE  ALT=\"4%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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