document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168433>Question 168433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose y varies directly as x and y=27 when x=3. Find x when y=45.\r<BR>\n" );
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document.write( "Suppose y varies inversely as x and y=24 when x=3. fond x when y=36.\r<BR>\n" );
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document.write( "Write the point-slope form of an equation for the line passing through the point at (3,-6) with slope -4/3.\r<BR>\n" );
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document.write( "Write an equation in slope-intercept form for the line through points (2,4) and (6,-2).\r<BR>\n" );
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document.write( "Determine the slope and y-intercept of the graph of 12+3y=-2x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124131 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=124131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose y varies directly as x and y=27 when x=3. Find x when y=45.<BR>\n" );
document.write( "y = kx<BR>\n" );
document.write( "Find \"k\"<BR>\n" );
document.write( "27 = k*3<BR>\n" );
document.write( "k = 9<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = 9x<BR>\n" );
document.write( "Find x when y = 45<BR>\n" );
document.write( "45 = 9x<BR>\n" );
document.write( "x = 5<BR>\n" );
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document.write( "Suppose y varies inversely as x and y=24 when x=3. find x when y=36.<BR>\n" );
document.write( "y = k/x<BR>\n" );
document.write( "Find k<BR>\n" );
document.write( "24 = k/3<BR>\n" );
document.write( "k = 72<BR>\n" );
document.write( "Equation: y = 72/x<BR>\n" );
document.write( "Find x when y = 36<BR>\n" );
document.write( "36 = 72/x<BR>\n" );
document.write( "x = 72/36<BR>\n" );
document.write( "x = 2<BR>\n" );
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document.write( "Write the point-slope form of an equation for the line passing through the point at (3,-6) with slope -4/3.<BR>\n" );
document.write( "Intercept: -6 = (-4/3)*3 + b<BR>\n" );
document.write( "b = -6+4 = -2<BR>\n" );
document.write( "Equation: y = (-4/3)x - 2<BR>\n" );
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document.write( "Write an equation in slope-intercept form for the line through points (2,4) and (6,-2).<BR>\n" );
document.write( "slope = (4--2)/(2-6) = 6/-4 = -3/2<BR>\n" );
document.write( "intercept: 4 = (-3/2)*2 + b<BR>\n" );
document.write( "b = 4+3 = 7<BR>\n" );
document.write( "y = (-3/2)x + 7<BR>\n" );
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document.write( "Determine the slope and y-intercept of the graph of 12+3y=-2x<BR>\n" );
document.write( "y = (-2/3)x - 4<BR>\n" );
document.write( "slope = -2/3<BR>\n" );
document.write( "intercept = -4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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