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ISEE Upper Level
Mathematics Achievement

Distance from a Point to a Line in Coordinate Geometry

Medium Geometry Coordinate Geometry

In the Cartesian coordinate plane, consider the line determined by the equation $y = 3x - 4$.

Additionally, point P is located at (2, 2). What is the shortest distance from point P to the line?

Recall that the distance $d$ from a point $(x_0, y_0)$ to a line in the form $Ax + By + C = 0$ can be calculated using the formula:

$d = \frac{|Ax_0 + By_0 + C|}{\sqrt{A^2 + B^2}}$

Hint

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