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The line joining points (2,-1) and (5,-6) is bisected by p. if P lies on 2x+4y+k find the value of k

Answer» Coordinate of {tex}P = \\left( {\\frac{{2 + 5}}{2},\\frac{{ - 1 - 6}}{2}} \\right) = \\left( {\\frac{7}{2},\\frac{{ - 7}}{2}} \\right){/tex}P lies on equation 2x + 4y + k = 0{tex}\\therefore 2\\left( {\\frac{7}{2}} \\right) + 4\\left( {\\frac{{ - 7}}{2}} \\right) + k = 0{/tex}{tex} \\Rightarrow {/tex}\xa07 - 14 + k = 0{tex} \\Rightarrow {/tex}\xa0k = 7


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