document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=433097>Question 433097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me write an equation in standard form that satisfies these following conditions:\r<BR>\n" );
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document.write( "Parallel to y=4x+1   and passes through (-3, 5).\r<BR>\n" );
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document.write( "Please show me how, step-by-step!! \r<BR>\n" );
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document.write( "Thank you :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300200 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300200\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Parallel lines have the same slope.  Therefore, the slope = 4.  Now we need to find the y-intercept.  <BR>\n" );
document.write( "The slope of a line is determined from two points on the line (x1,y1), (x2,y2):<BR>\n" );
document.write( "m = (y2-y1)/(x2-x1) [rise/run]<BR>\n" );
document.write( "One of the points on the line is the y-intercept with coordinates (0,b), and the other point is (-3,5).  <BR>\n" );
document.write( "Use the formula for the slope to find b:<BR>\n" );
document.write( "m = 4 = (b-5)/(0+3) -> b-5 = 12, or b = 17<BR>\n" );
document.write( "So the equation for the line is:<BR>\n" );
document.write( "y = 4x + 17 </SPAN>\n" );
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