document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165813>Question 1165813</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the lines defined here has/have only one unique intercept?\r<BR>\n" );
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document.write( "A. X = 8\r<BR>\n" );
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document.write( "B. -8x - 7y = -7\r<BR>\n" );
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document.write( "C. 9y = 5\r<BR>\n" );
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document.write( "D. -3x - 3y = 0\r<BR>\n" );
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document.write( "Possible answers\r<BR>\n" );
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document.write( "A. A, C, and D\r<BR>\n" );
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document.write( "B. A, and C\r<BR>\n" );
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document.write( "C. B, and D\r<BR>\n" );
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document.write( "D. B </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790290 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=790290\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> horizontal lines will have one intercept only, unless they are identical to the x-axis.<BR>\n" );
document.write( "in that case, they will have an infinite number of intercepts, depending on how you define an intercept.\r<BR>\n" );
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document.write( "vertical lines will have one intercept only,  unless they are identical to the y-axis.<BR>\n" );
document.write( "in that case, they will have an infinite number of intercepts, depending on how you define an intercept.\r<BR>\n" );
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document.write( "lines that are not vertical or horizontal and that intercept with the origin (the point (0,0) on the graph) will lave one intercpt only.\r<BR>\n" );
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document.write( "the rest will have two intercepts.\r<BR>\n" );
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document.write( "selection A is a vertical line not on the y-axis, therefore will have one intercept only, namely the x-axis.\r<BR>\n" );
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document.write( "selection B is a line that is a horizontal line not on the x-axis, therefore will have one intercept only, namely the y-axis.\r<BR>\n" );
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document.write( "selection C is is not vertical nor horizontal but does go through the origin, so it will have one intercept only.\r<BR>\n" );
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document.write( "selection D is not vertical nor horizontal but does go through the origin, so it will have one intercept only.\r<BR>\n" );
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document.write( "a vertical line will be in the form of x = c, where c is a constant.\r<BR>\n" );
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document.write( "a horizontal line will be in the form of y = c, where c is a constant.\r<BR>\n" );
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document.write( "a line that goes through the origin will be in the form of y = mx, where m is the slope.\r<BR>\n" );
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document.write( "a line that is not vertical nor horizontal nor goes through the origin is a line in the form of y = mx + b, where m is the slope and b is a constant that is not equal to 0.\r<BR>\n" );
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document.write( "x = 8 is a vertical line.\r<BR>\n" );
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document.write( "-8x - 7y = -7 looks like a line that is not vertical nor horizontal nor has a constant of 0.<BR>\n" );
document.write( "to test, convert the line to slope intercept form.<BR>\n" );
document.write( "start with -8x -7y = -7<BR>\n" );
document.write( "add 8x to both sides of the equation to get -7y = 8x - 7<BR>\n" );
document.write( "divide both sides by -7 to get y = -8x/7 + 1<BR>\n" );
document.write( "our assumption is confirmed and so this line will have two intercepts.\r<BR>\n" );
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document.write( "note that a straight line will have one intercept or two intercepts, no more.\r<BR>\n" );
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document.write( "9y = 5 becomes y = 5/9<BR>\n" );
document.write( "this is horizontal and will have one intercept only.\r<BR>\n" );
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document.write( "-3x - 3ty = 0 is transformed to slope intercept form as shown bwlow.<BR>\n" );
document.write( "add 3x to both sides of the equation to get:<BR>\n" );
document.write( "-3y = 3x<BR>\n" );
document.write( "divide both sides by 3 to get:<BR>\n" );
document.write( "y = -x.<BR>\n" );
document.write( "this line is in y = mx + b form where b = 0, making it in y = mx form.<BR>\n" );
document.write( "it will go through the origin, therefore will have one intercept only.\r<BR>\n" );
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document.write( "your selections are:<BR>\n" );
document.write( "A,C,D.<BR>\n" );
document.write( "only B has two intercepts.\r<BR>\n" );
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document.write( "the graphs of these lines are shown below.\r<BR>\n" );
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document.write( "here's a bunch of references from purplemath that should help you to understand straight lines and their intercepts and their equations.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.google.com/search?q=straight+lines+purplemath&rlz=1C1GCEA_enUS874US874&oq=straight+lines+purplemath&aqs=chrome..69i57.5183j1j7&sourceid=chrome&ie=UTF-8\" target = \"_blank\">https://www.google.com/search?q=straight+lines+purplemath&rlz=1C1GCEA_enUS874US874&oq=straight+lines+purplemath&aqs=chrome..69i57.5183j1j7&sourceid=chrome&ie=UTF-8</a>\r<BR>\n" );
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