Find the coordinates of the foot of the perpendicular drawn from thepo – InterviewSolution

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1.	Find the coordinates of the foot of the perpendicular drawn from thepoint `(1,-2)`on the line `y=2x+1.`
Answer» 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` `=>x_1 = -1` `:. y_1 = 2(-1)+1 = -1` So, foot of the perpenicular will be `(-1-1).`

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