document.write( "Question 110990: can you show me how to find the distance between each pair of parallel lines y=3x and y=3x + 10\r
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Algebra.Com's Answer #80986 by scott8148(6628) You can put this solution on YOUR website! he distance is the length of a perpendicular line drawn between the parallel lines\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "perpendicular means the slope will be -1/3 (negative reciprocal of 3) \n" ); document.write( "... 10 is the y-intercept of the upper line, so the perpendicular will match it \n" ); document.write( "... the perpendicular intersects the top line at (0,10)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the intersection with the bottom line is when 3x=(-1/3)x+10 ... or x=3 ... so the intersection is (3,9)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the distance is between the two intersections ... d^2=(3-0)^2+(9-10)^2 \n" ); document.write( " |