document.write( "Question 1110391: Given ABCD is a parallelogram with vertices A (-1, -4), B (1,2) and C (3, 3), find the equation of the line BD \n" ); document.write( "
| Algebra.Com's Answer #725385 by Cromlix(4381)     You can put this solution on YOUR website! Hi there, \n" ); document.write( "First find the gradient of BC \n" ); document.write( "y2 - y1/x2 - x1 = 3 - 2/3 - 1 = 1/2 \n" ); document.write( "Now AD will have the same gradient (parallelogram's sides) \n" ); document.write( "Coordinates for point D (x, y) \n" ); document.write( "Gradient of AD y - (-4)/x - (-1) = y + 4/x + 1 \n" ); document.write( "y + 4/x + 1 = 1/2: y = -3 x = 1 \n" ); document.write( "D(1, -3) \n" ); document.write( "As D and B have the same x coordinate \n" ); document.write( "Equation of line BD => x = 1 \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |