Find the coordinates of the foot of the perpendicular drawn from the point `(1,-2)` on the line `y=2x+1.`

Explanation

Here, slope of line, `y = 2x+1` is `2`.

`:.` Slope of lineperpendicular to this line `= -1/2`

Let foot of the perpendicular is `(x_1,y_1)`.

Then, `y_1 = 2x_1+1.`

So, from the point, `(1,-2)`,

`(2x_1+1+2)/(x_1-1) = -1/2`

`=>(2x_1+3)/(x_1-1) = -1/2`

`=>4x_1+6 = 1-x_1`

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