The points (1, 3) and (5, 1) are two opposite vert of a rectangle. The other two vertices lie on the line find the `y=2x+c`. Find `c` and the remaining vertices.

Explanation

Midpoint of `A(1,3)` and `C(5,1)` will be `(3,2)`.

Midpoint will be passing through line , `y = 2x+c`.

`:. 2 = 2(3) + c => c = -4`

So, equation of the line will be,

`y = 2x-4`

Let `B(x_1,y_1)` is one of the remaining vertices.

As it is a rectangle, `AB` and `BC` are perpendicular.
So, product of slope of these lines will be `-1`.

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