document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548263>Question 548263</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I write the standard form of the equation of the line:<BR>\n" );
document.write( "through: (4,4) parallel to y = 1/4x - 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #356940 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=356940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given<BR>\n" );
document.write( "Point (x, y)=(4,4) <BR>\n" );
document.write( "Line:<BR>\n" );
document.write( "y=1/4(x)-5<BR>\n" );
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document.write( "Compare given equation with Equation of line standard form (y=mx+b)<BR>\n" );
document.write( "m=1/4<BR>\n" );
document.write( "b=-5\r<BR>\n" );
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document.write( "Slope of the given line  m = 1/4 and y-intercept = b = -5\r<BR>\n" );
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document.write( "Since given line is parallel to the required line; slopes of the both line will be same.<BR>\n" );
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document.write( "Now we have a point (4,4) and slope (1/4) of the required line we can easily find the required line by putting these values in the equation of slope-intercept form to find the y-intercept of the required line<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "4=(1/4)(4)+b<BR>\n" );
document.write( "4=4/4+b<BR>\n" );
document.write( "4=1+b<BR>\n" );
document.write( "4-1=b<BR>\n" );
document.write( "3=b<BR>\n" );
document.write( "b=3\r<BR>\n" );
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document.write( "y-intercept of the required line =b=3<BR>\n" );
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document.write( "Put the values of ‘m’ and ‘b’ in equation of the line slope-intercept form<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "y=(x/4)+3<BR>\n" );
document.write( "Above equation is the required equation of the line in slope-intercept form.\r<BR>\n" );
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document.write( "Graph<BR>\n" );
document.write( "Given line = y = x/4 - 5 (Red line)<BR>\n" );
document.write( "Required line = y = x/4 +3 (Green line)<BR>\n" );
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