document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=449344>Question 449344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A line passes through the point (1,3) and has a slope of 4. Write an equation for the line.<BR>\n" );
document.write( "Find the equation of the line that is perpendicular to the first line and passes throgh (1,3). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309237 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=309237\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A line passes through the point (1,3) and has a slope of 4. Write an equation for the line.<BR>\n" );
document.write( "Use the point/slope form to find this equation, (y - y1 = m(x - x1)<BR>\n" );
document.write( "Where, in this equation, m=4, x1=1, y1=3<BR>\n" );
document.write( "y - 3 = 4(x - 1)<BR>\n" );
document.write( "y - 3 = 4x - 4<BR>\n" );
document.write( "y = 4x - 4 + 3<BR>\n" );
document.write( "y = 4x - 1, is the equation of this line<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the equation of the line that is perpendicular to the first line and passes through (1,3).<BR>\n" );
document.write( "The slope relationship of perpendicular lines: m1*m2 = -1<BR>\n" );
document.write( "let m1 = 4, find m2<BR>\n" );
document.write( "4*m2 = -1<BR>\n" );
document.write( "Divide both sides by 4<BR>\n" );
document.write( "m2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F4 ALIGN=MIDDLE  ALT=\"-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, is the slope of the perpendicular line<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using the point/slope again, find the equation for the perpendicular line<BR>\n" );
document.write( "y - 3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F4 ALIGN=MIDDLE  ALT=\"-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x - 1)<BR>\n" );
document.write( "y - 3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F4 ALIGN=MIDDLE  ALT=\"-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F4 ALIGN=MIDDLE  ALT=\"-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 3<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F4 ALIGN=MIDDLE  ALT=\"-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F4 ALIGN=MIDDLE  ALT=\"12%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F4 ALIGN=MIDDLE  ALT=\"-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2F4 ALIGN=MIDDLE  ALT=\"13%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, is the line perpendicular to y=4x-1 and passes thru point 1, 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Graphically <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+4x-1%2C+-.25x%2B3.25%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+4x-1%2C+-.25x%2B3.25%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that lines intersect at 1, 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "How about this; was it understandable to you? Any questions?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );