document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761894>Question 761894</A>: <I><SPAN STYLE=\"word-break: break-all;\"> express y in terms of x in the equation -3x+5y-11=0<BR>\n" );
document.write( "Find the point where the line represented by the equation -3x+5y-11=0 cuts the y-axis.Hence check whether the point (3,4) is on the given line. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463556 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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=463556\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2Ax+%2B+5%2Ay+-+11+=+0 ALIGN=MIDDLE  ALT=\"-3%2Ax+%2B+5%2Ay+-+11+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Problem 1: Express y in terms of x\r<BR>\n" );
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document.write( "Step 1: Bring y to side and x and constant terms to the other side of the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Ay+=+3%2Ax+%2B+11 ALIGN=MIDDLE  ALT=\"5%2Ay+=+3%2Ax+%2B+11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2: Dividing both sides of step 1 by 5,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%283%2F5%29%2Ax+%2B+11%2F5 ALIGN=MIDDLE  ALT=\"y+=+%283%2F5%29%2Ax+%2B+11%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------> Equation (1)\r<BR>\n" );
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document.write( "The above equation expresses y in terms of x.\r<BR>\n" );
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document.write( "Problem 2: Where does the above equation cut the y axis.<BR>\n" );
document.write( "For all points the y axis, x = 0. Substituting for x as 0 in the eqn (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+11%2F5 ALIGN=MIDDLE  ALT=\"y+=+11%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the line cuts the y axis at the point (0,11/5)\r<BR>\n" );
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document.write( "Problem 3: Is (3,4) on the given line<BR>\n" );
document.write( "Solution: To check if (3,4) is on the line, we substitute x as 3 and y as 5 in the line's equation and see if it is true.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=+%283%2F5%29%2A3+%2B+11%2F5 ALIGN=MIDDLE  ALT=\"4+=+%283%2F5%29%2A3+%2B+11%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > i.e.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=+9%2F5+%2B+11%2F5+=+20%2F5 ALIGN=MIDDLE  ALT=\"4+=+9%2F5+%2B+11%2F5+=+20%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is TRUE. So, (3.4) is a point on the given line.\r<BR>\n" );
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document.write( "See the graph for the line below.\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=describe_linear_equation.solver>DESCRIBE a linear EQUATION: slope, intercepts, etc</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.6+x+%2B+-1+y+=+-2.2 ALIGN=MIDDLE  ALT=\"0.6+x+%2B+-1+y+=+-2.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > describes a sloping line. For any <BR>\n" );
document.write( "  equation ax+by+c = 0, slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2Fb+=+-0.6%2F-1 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+-0.6%2F-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<UL><LI>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x =  c/a. -2.2/0.6 = -3.66666666666667.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -2.2/-1 = 2.2.</LI><LI>Slope is -0.6/-1 = 0.6.</LI><LI> Equation in slope-intercept form: y=0.6*x+2.2.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+-3.66666666666667-8%2C+-3.66666666666667%2B8%2C+2.2-8%2C+2.2%2B8%2C+0.6%2Ax%2B2.2+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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