document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65150>Question 65150</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A)write the point-slope equation form of the line which passes through the 2points: (6,0), (11,5)\r<BR>\n" );
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document.write( "B) Write the point-slope equation form if the line which passes through the 2 points:(4, -8), (9, -5)\r<BR>\n" );
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document.write( "C) Write the general equation form of the line which passes through the 2 points: (6,0), (10, 5)\r<BR>\n" );
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document.write( "D) Write the slope-y-intercept equation form of the line which passes through the 2 points: (-5, 1), (0, 4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45647 by </B><A HREF=/tutors/aboutme.mpl?userid=cristiana><B>cristiana(10)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cristiana><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=45647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A)write the point-slope equation form of the line which passes through the 2points: (6,0), (11,5)\r<BR>\n" );
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document.write( "We have two points on the and therefore we can easily calculate the slope: <BR>\n" );
document.write( "   m = (y2-y1)/(x2-x1) = 5/5 = 1 <BR>\n" );
document.write( "The point-slope eq. is:<BR>\n" );
document.write( "   y-y1 =m(x-x1) where x1, y1 can be any of the two points (6,0) or (11,5) <BR>\n" );
document.write( "I'll let you substitute and do the final calculations\r<BR>\n" );
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document.write( "B) Write the point-slope equation form if the line which passes through the 2 points:(4, -8), (9, -5)\r<BR>\n" );
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document.write( "As we have done for point A, we need to first determine the slope:<BR>\n" );
document.write( "  m = (y2-y1)/(x2-x1) = 3/5 <BR>\n" );
document.write( "The point-slope form:<BR>\n" );
document.write( "  y-y1 = m(x-x1) <BR>\n" );
document.write( "Now you only need to pick of the two points and substitute its coordinates for x1, y1 in the above equation\r<BR>\n" );
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document.write( "C) Write the general equation form of the line which passes through the 2 points: (6,0), (10, 5)\r<BR>\n" );
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document.write( "General form of an equation is: <BR>\n" );
document.write( "Ax+By = C<BR>\n" );
document.write( "One way to get to this form is to determine first the point-slope equation and then to convert it to the general form by placing x and y on one side and converting all coeficients to integers<BR>\n" );
document.write( "So, let's first calculate the slope: <BR>\n" );
document.write( "   m = 5/4 <BR>\n" );
document.write( "Point-slope form is: y-0=5/4(x-6) or y = 5/4(x-6) <BR>\n" );
document.write( "After bringing the equation to the form with the same denominator and then distributing we get to the general form: 5x-4y=6 \r<BR>\n" );
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document.write( "D) Write the slope-y-intercept equation form of the line which passes through the 2 points: (-5, 1), (0, 4)\r<BR>\n" );
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document.write( "The slope-y-intercept equation form:<BR>\n" );
document.write( "   y = mx + b, where b is the y-intercept <BR>\n" );
document.write( "Let first calculate the slope: <BR>\n" );
document.write( "   m=(3/5)<BR>\n" );
document.write( "Now, to determine the y-intercept we can write the general form of the equation and then set x=0 and determine y.<BR>\n" );
document.write( "Point slope form: <BR>\n" );
document.write( "    y-4 = (3/5)x<BR>\n" );
document.write( "    y = (3/5)x + 4<BR>\n" );
document.write( "    5y = 3x + 20 <BR>\n" );
document.write( "    Set x = 0 and get y = 4. This is the y-intercept<BR>\n" );
document.write( "Now let's write the slope-y-intercept form: <BR>\n" );
document.write( "   y = (3/5)x+4 <BR>\n" );
document.write( "Note: we could have arrived to the y-intercept (4) much easier if we have taken into consideration the (0,4) point given in text; this point basically gives us the y-coordinate when x = 0. \r<BR>\n" );
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document.write( "Hope it helped<BR>\n" );
document.write( "Cristiana </SPAN>\n" );
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