document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1019919>Question 1019919</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sketch the linear function f(x) = 1/2 (3x + 1) - 1. Which key feature of the graph is true?\r<BR>\n" );
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document.write( "A) y-intercept (0, -1)<BR>\n" );
document.write( "B) x-intercept ( 1/6 , 0)<BR>\n" );
document.write( "C) x-intercept ( 1/3 , 0)<BR>\n" );
document.write( "D) y-intercept (0, 1/2 )\r<BR>\n" );
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document.write( "I am confused by this question on USATESTPREP could someone please help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #635879 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=635879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Put the equation into the form y = mx + b<BR>\n" );
document.write( "In this form , b represents the y intercept,<BR>\n" );
document.write( "where the line crosses the x axis.<BR>\n" );
document.write( "This crossing point is (0,b)\r<BR>\n" );
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document.write( "y = 1/2 (3x + 1) - 1<BR>\n" );
document.write( "y = 3/2x + 1/2 - 1<BR>\n" );
document.write( "y = 3/2x - 1/2<BR>\n" );
document.write( "-1/2 is the b in the (0,b) or in this case (0,-1/2) y-intercept<BR>\n" );
document.write( "A) and D) are incorrect because they have the wrong intercept.\r<BR>\n" );
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document.write( "The x-intercept is determined when the value of y is zero.<BR>\n" );
document.write( "Substitute into y = 3/2x - 1/2 the value of zero for y<BR>\n" );
document.write( "0 = 3/2x - 1/2<BR>\n" );
document.write( "add 1/2 to each side<BR>\n" );
document.write( "1/2 = 3/2x<BR>\n" );
document.write( "Multiply each side by 2/3<BR>\n" );
document.write( "2/6 = x<BR>\n" );
document.write( "1/3 = x<BR>\n" );
document.write( "So the answer is C) x-intercept ( 1/3 , 0 ) </SPAN>\n" );
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