The point is and the equation of line is .

The equation is in the form where *m* is slope and *b* is *y* - intercept.

Therefore slope of given line is .

Because the slopes of perpendicular lines are negative reciprocals, the slope of perpendicular line through is 2.

To find the *y* - intercept, substitute the values of in the slope - intercept from of equation and solve for *b*.

Subtract 4 from each side.

.

The *y* - intercept of perpendicular line is .

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