document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=516363>Question 516363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation in slope-intercept form for a line that passes through the given point and is parallel to the given line <BR>\n" );
document.write( "y=5x;(2,-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344349 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=344349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Standard Form of Equation of the line:<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "Given line<BR>\n" );
document.write( "y=5x<BR>\n" );
document.write( "Compare above equation with the standard form equation<BR>\n" );
document.write( "Slope = m=5 and y-intercept = b=0<BR>\n" );
document.write( "Since parallel lines have same slope so slope of the required line will be:-<BR>\n" );
document.write( "m=5\r<BR>\n" );
document.write( "\n" );
document.write( "Now we have a point(2,-1) and slope (5)of the line we can easily find required lines by putting these values in the equation of the straight line poin-slope form.<BR>\n" );
document.write( "m=(y2-y1)/(x2-x1)<BR>\n" );
document.write( "5=(y-(-1))/(x-2)<BR>\n" );
document.write( "5=(y+1)/(x-2)<BR>\n" );
document.write( "5(x-2)=y+1<BR>\n" );
document.write( "5x-10=y+1<BR>\n" );
document.write( "y+1=5x-10<BR>\n" );
document.write( "y=5x-10-1<BR>\n" );
document.write( "y=5x-11<BR>\n" );
document.write( "Above equation is the required equation of the line that is parallel to y=5x  and contains (2,-1) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );