document.write( "Question 767565: Find the equation of the line passing through the point (1,8) such that this line, together with the +x and +y axis, forms a triangle whose height is twice its base \n" ); document.write( "

Algebra.Com's Answer #467689 by josgarithmetic(39618) $\"\"$ $\"About$

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We can assume points on the x and y axes to contain base and height.
\n" ); document.write( "y/x=2/1 because we want height to be two times base. We then have some unknown equation with obviously slope -2 to fit $\"y=-2x%2Bb\"$ .\r
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\n" ); document.write( "\n" ); document.write( "The line must contain point (1, 8), so we make 8=-2*1+b,
\n" ); document.write( "b=8+2
\n" ); document.write( "b=10.\r
\n" ); document.write( "\n" ); document.write( "Our line must be $\"highlight%28y=-2x%2B10%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "This can be checked if desired. The x-intercept is at 0=-2*x+10, x=5.
\n" ); document.write( "Good, because height/base is 10/5=2 as we were specified to have. \n" ); document.write( "

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