document.write( "Question 1160833: Find the point on the line y=4x that is closest to the point P=(1,2). \n" ); document.write( "

Algebra.Com's Answer #784233 by Boreal(15235) $\"\"$ $\"About$

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The line perpendicular to y=4x will contain that point
\n" ); document.write( "that perpendicular line is y=-1/4 * x, the negative reciprocal slope
\n" ); document.write( "it goes through (1, 2)
\n" ); document.write( "point slope formula y-y1=m(x-x1), m=slope, (x1, y1)= point.
\n" ); document.write( "y-2=(-1/4)(x-1)
\n" ); document.write( "y=(-1/4x)+9/4\r
\n" ); document.write( "\n" ); document.write( "find where the two lines intersect
\n" ); document.write( "4x=-(1/4)x+9/4
\n" ); document.write( "(17/4)x=9/4
\n" ); document.write( "x=9/17\r
\n" ); document.write( "\n" ); document.write( "first equation y=36/17 when x=9/17
\n" ); document.write( "second equation, y=-9/68+153/68=144/68=36/17, if divide top and bottom by 4
\n" ); document.write( "((9/17), (36/17))\r
\n" ); document.write( "\n" ); document.write( " $\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C4x%2C%28-1%2F4%29x%2B%289%2F4%29%29\"$ \n" ); document.write( "

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