document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116981>Question 1116981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the lines 3x-2y-24=0 and 4x+7y=-26<BR>\n" );
document.write( "Find the point on the y axis that is collinear with P(4,-6), if the line has a gradient of 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #731919 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=731919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it appears that what you are looking for is the equation of the line that has a slope of 2 that goes through the point (4,-6).\r<BR>\n" );
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document.write( "the slope intercept form of the equation of a line is y = mx + b\r<BR>\n" );
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document.write( "m is the slope and b is the y-intercept.\r<BR>\n" );
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document.write( "the slope is 2, therefore the equation becomes y = 2x + b.\r<BR>\n" );
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document.write( "to find b, replace x and y with the value of one of the points on the line and solve for b.\r<BR>\n" );
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document.write( "your equation becomes -6 = 2*4 + b\r<BR>\n" );
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document.write( "solve for b to get b = -6 - 8 = -14.\r<BR>\n" );
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document.write( "the y-intercept is the value of y when x is equal to 0.\r<BR>\n" );
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document.write( "that's the point where the line that is co-linear with (4,-6) meets the y-axis if the line has a gradient of 2 (gradient = slope).\r<BR>\n" );
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document.write( "your point is therefore (0,-14).\r<BR>\n" );
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document.write( "in my view, the other two equations are superfluous to the problem.\r<BR>\n" );
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document.write( "as it turns out, however, ths point (4,-6) is the intersection of the line formed by those equations.\r<BR>\n" );
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document.write( "the following graph shows you what i mean.\r<BR>\n" );
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document.write( "the line with the gradient of 2 is the green line.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/051103.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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