document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312742>Question 312742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> --------------- QUESTION FOLLOWS --------------------------<BR>\n" );
document.write( "Given the linear function f(x)= -1/2x-4:\r<BR>\n" );
document.write( "\n" );
document.write( "a) find f(-4)<BR>\n" );
document.write( "b) Determine the coordinates of the x-intercept<BR>\n" );
document.write( "c) Determine the coordinates of the y-intercept<BR>\n" );
document.write( "d) Determine the slope<BR>\n" );
document.write( "e) Determine the slope of a line perpendicular to this line.<BR>\n" );
document.write( "*** Can you explain your answers to help me understand better? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223606 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=223606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+-1%2F2x-4 ALIGN=MIDDLE  ALT=\"f%28x%29=+-1%2F2x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a) find f(-4)<BR>\n" );
document.write( "Plug in -4 fox x and solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-4%29=+%28-1%2F2%29%2A4-4 ALIGN=MIDDLE  ALT=\"f%28-4%29=+%28-1%2F2%29%2A4-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-4%29=+-2-4 ALIGN=MIDDLE  ALT=\"f%28-4%29=+-2-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-4%29+=+-6 ALIGN=MIDDLE  ALT=\"f%28-4%29+=+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b) Determine the coordinates of the x-intercept<BR>\n" );
document.write( "x intercept is found when the y coordinate is 0. So set f(x) = 0 and solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+%28-1%2F2%29x-4 ALIGN=MIDDLE  ALT=\"f%28x%29=+%28-1%2F2%29x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+%28-1%2F2%29x+-+4 ALIGN=MIDDLE  ALT=\"0+=+%28-1%2F2%29x+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=++%28-1%2F2%29x ALIGN=MIDDLE  ALT=\"4+=++%28-1%2F2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8+=+x ALIGN=MIDDLE  ALT=\"-8+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x intercept is (-8,0)<BR>\n" );
document.write( "c) Determine the coordinates of the y-intercept<BR>\n" );
document.write( "y intercept is found when x coordinate equal 0. Set x=0 and solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+%28-1%2F2%29x-4 ALIGN=MIDDLE  ALT=\"f%28x%29=+%28-1%2F2%29x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+%28-1%2F2%29%2A0-4 ALIGN=MIDDLE  ALT=\"f%28x%29=+%28-1%2F2%29%2A0-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+-4 ALIGN=MIDDLE  ALT=\"f%28x%29=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y intercept is the point (0, -4)<BR>\n" );
document.write( "d) Determine the slope<BR>\n" );
document.write( "use slope intercept form of a line. This equation is already in that form (y = mx +b).<BR>\n" );
document.write( "So the slope is -1/2<BR>\n" );
document.write( "e) Determine the slope of a line perpendicular to this line.<BR>\n" );
document.write( "Perpendicular lines have slopes that are negative reciprocals of each other<BR>\n" );
document.write( "so when their slopes are multiplied together, the result is -1<BR>\n" );
document.write( "Slope for perp line is therefore -1/(-1/2) = 2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );