document.write( "Question 1079202: 2 perpendicular lines intersect on the x axis. One of the lines is 2x-y +3=0 find the equation of the second line. Write your answer in general form \n" ); document.write( "

Algebra.Com's Answer #693533 by ikleyn(52835) $\"\"$ $\"About$

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document.write( "For the given line, the x-intercept is x =   (it makes y = 0).\r\n" );
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document.write( "So, we need to find the equation of the line perpendicular to the given line and passing through the point (-1.5,0).\r\n" );
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document.write( "The given line has the slope 2 (because the equation of the given line in the slope-form is y = 2x+3).\r\n" );
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document.write( "Hence, the slope of the perpendicular line is -0.5.\r\n" );
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document.write( "The straight line with the slope -0.5 through the point (-1.5,0) is\r\n" );
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document.write( "y - 0 = (-0.5)*(x-(-1.5)),   or\r\n" );
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document.write( "y = -0.5*(x+1.5).\r\n" );
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document.write( "It is the same as \r\n" );
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document.write( "2y = -(x+1.5),   or\r\n" );
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document.write( "4y = - 2x - 3,   or\r\n" );
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document.write( "2x + 4y + 3 = 0,\r\n" );
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document.write( "on your choice.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved. And plotted:\r
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\n" ); document.write( "\n" ); document.write( "Plot y = 2x+3 (red) and y = -0.5*(x+1.5) (green)\r
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