The equation of the line passing through the given points S(1/2, 1), T(1/2,4) would be 2y = 3x - 1/2.
Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by
[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]
The equation of the line passes through the given points.
S(1/2, 1), T(1/2,4)
Then the equation ;
[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)\\\\(y - 1/2) = \dfrac{4 - 1}{1-1/2} (x -1/2)\\\\(y - 1/2) = \dfrac{3}{1/2} (x -1/2)\\\\2(y - 1/2) = 3(x -1/2)\\\\2y -1 = 3x - 3/2\\\\2y = 3x -1/2[/tex]
The equation of the line passing through the given points S(1/2, 1), T(1/2,4) would be 2y = 3x - 1/2.
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