document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117568>Question 117568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> which line is parallel to the line y=4x-2<BR>\n" );
document.write( "a. 12x-4y=8<BR>\n" );
document.write( "b. 4y-16x=10<BR>\n" );
document.write( "c. 5y-25x=-10<BR>\n" );
document.write( "d. -x+4y=-8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85557 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=85557\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The answer to this problem is choice b. But how do you find that answer to be correct.<BR>\n" );
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document.write( "Recognize two things. First, if two lines are parallel, they have the same slope.<BR>\n" );
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document.write( "Second, if you have an equation of the form y = mx + b, then m (the multiplier of x) is the slope<BR>\n" );
document.write( "of the line represented by that equation.<BR>\n" );
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document.write( "You are given the line y = 4x - 2. From this you can tell that the slope of this line is +4<BR>\n" );
document.write( "because +4 is the multiplier of x. [You can also tell that the graph crosses the y-axis at the<BR>\n" );
document.write( "point where y = -2, but you don't need to know that for this problem.]<BR>\n" );
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document.write( "Now all you have to do is rearrange each of the equations in the four choices to find their slopes.<BR>\n" );
document.write( "When you find the equation with the multiplier of x equal to +4 then you will know that<BR>\n" );
document.write( "it represents the line that is parallel to the given equation.<BR>\n" );
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document.write( "Do answer a. <BR>\n" );
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document.write( "Given 12x - 4y = 8<BR>\n" );
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document.write( "Subtract 12x from both sides to get:<BR>\n" );
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document.write( "-4y = -12x + 8<BR>\n" );
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document.write( "Divide both sides (all terms) by -4 to solve for y and you have:<BR>\n" );
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document.write( "y = 3x - 2<BR>\n" );
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document.write( "In this equation the multiplier of x is +3 not +4. So it does not represent a parallel line.<BR>\n" );
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document.write( "Do answer c.<BR>\n" );
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document.write( "Given 5y - 25x = -10<BR>\n" );
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document.write( "Add +25x to both sides to get rid of the -25x on the left side and you have:<BR>\n" );
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document.write( "5y = 25x - 10<BR>\n" );
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document.write( "Solve for y by dividing both sides (all terms) by +5 and you have:<BR>\n" );
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document.write( "y = 5x - 2<BR>\n" );
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document.write( "The slope of the line represented by this equation is 5 and therefore it cannot be parallel either.<BR>\n" );
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document.write( "Do answer d.<BR>\n" );
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document.write( "Given -x + 4y = -8<BR>\n" );
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document.write( "Get rid of the -x on the left side by adding x to both sides to make the equation become:<BR>\n" );
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document.write( "4y = +x - 8<BR>\n" );
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document.write( "Solve for y by dividing both sides (all terms) by 4 and you have:<BR>\n" );
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document.write( "y = (1/4)x - 2<BR>\n" );
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document.write( "This cannot be parallel because its slope is +(1/4)<BR>\n" );
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document.write( "Finally do answer b<BR>\n" );
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document.write( "Given 4y - 16x = 10<BR>\n" );
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document.write( "Get rid of the -16x on the left side by adding +16x to both sides to get:<BR>\n" );
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document.write( "4y = 16x + 10<BR>\n" );
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document.write( "Solve for y by dividing both sides (all terms) by +4 and the equation becomes:<BR>\n" );
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document.write( "y = 4x + 10/4<BR>\n" );
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document.write( "The slope (the multiplier of x) is +4, the same as the slope of the equation you were originally<BR>\n" );
document.write( "given. Therefore, this line is parallel to the given line. Answer b is the correct answer.<BR>\n" );
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document.write( "Hope this helps you to see how to do the problem.<BR>\n" );
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