document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=644646>Question 644646</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The question states: Find an equation for the line.\r<BR>\n" );
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document.write( "4.  through (-8,8) and parallel to y = 3/2x -3.  I have a test on tuesday and cant figure out the steps to work this problem out.  Can you please help me.\r<BR>\n" );
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document.write( "5.  through (-3,8) and vertical\r<BR>\n" );
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document.write( "6.  through (-7,5) and perpendicular to y=2/3x -2\r<BR>\n" );
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document.write( "Can someone walk me through the steps in solving these questions.  Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #405187 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=405187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you have to know a few things:<BR>\n" );
document.write( "two forms of an equation of a line:<BR>\n" );
document.write( "y = mx + b (slope-intercept form)<BR>\n" );
document.write( "where<BR>\n" );
document.write( "m is slope<BR>\n" );
document.write( "b is y-intercept at (0,b)<BR>\n" );
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document.write( "y-y1 = m(x - x1) (point-slope form: used to derive equation of a line give one point and the slope)<BR>\n" );
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document.write( "if two lines are \"parallel\" their slopes are equal<BR>\n" );
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document.write( "if two lines are \"perpendicular\" their slopes are \"negative reciprocal\" (equals -1 when multiplied together)<BR>\n" );
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document.write( "4. through (-8,8) and parallel to y = 3/2x -3. <BR>\n" );
document.write( "slope of new line is 3/2<BR>\n" );
document.write( "crossing (-8,8)<BR>\n" );
document.write( "plug into \"point-slope\" form:<BR>\n" );
document.write( "y-y1 = m(x - x1)<BR>\n" );
document.write( "y-8 = (3/2)(x - (-8))<BR>\n" );
document.write( "y-8 = (3/2)(x + 8)<BR>\n" );
document.write( "y-8 = (3/2)x + (3/2)8<BR>\n" );
document.write( "y-8 = (3/2)x + 12<BR>\n" );
document.write( "y = (3/2)x + 20 (answer in \"slope-intercept\" form)<BR>\n" );
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document.write( "5. through (-3,8) and vertical<BR>\n" );
document.write( "x = -3<BR>\n" );
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document.write( "6. through (-7,5) and perpendicular to y=2/3x -2 <BR>\n" );
document.write( "since slope of:<BR>\n" );
document.write( "y=2/3x -2<BR>\n" );
document.write( "is 2/3.<BR>\n" );
document.write( "Our new slope is -3/2 (because -3/2 * 2/3 = -1)<BR>\n" );
document.write( "crossing (-7,5)<BR>\n" );
document.write( "plug into \"point-slope\" form:<BR>\n" );
document.write( "y-y1 = m(x - x1)<BR>\n" );
document.write( "y-5 = (-3/2)(x - (-7))<BR>\n" );
document.write( "y-5 = (-3/2)(x + 7)<BR>\n" );
document.write( "y-5 = (-3/2)x + (-3/2)7<BR>\n" );
document.write( "y-5 = (-3/2)x - 21/2<BR>\n" );
document.write( "y = (-3/2)x - 21/2 + 5<BR>\n" );
document.write( "y = (-3/2)x - 21/2 + 10/2<BR>\n" );
document.write( "y = (-3/2)x - 11/2 (answer in \"slope-intercept\" form)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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