find an equation of the line passing through the given points (-4,-5) and (-6,-6) f(x)= Solution Let us assume that the equation of the line passing through the the given two points be: y = m*x + c ...(1) Since, the line passes through both the points, the coordinates of both the points should satisfy the above equation. Hence, -5 = m(-4) + c ...(2) -6 = m(-6) + c ...(3) On solving the above two equations simultaneously, we have : m = 0.5 c = -3 Hence, the equation of line becomes y = 0.5x - 3 or, f(x) = 0.5x - 3 .