Find the equation of the line that passes through (1,2) and is perpendicular to y = 2 x + 3 .
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Equation of the given line is 2y = 2x -1. or, y = x -1/2. …………………(1).
Slope of this line (1) = 1.
Slope of a line perpendicular to (1) = -1.
Let the equation of a line perpendicular to (1) is y = -1.x + c…………(2) Line (2) passes through (1,3) therefore :-
3 = -1 +c. => c = 4.
Putting c = 4 in eqn. (2) the required equation is y = - x + 4. Answer.
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