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Ask by Burns Rojas. in the United States
Jan 23,2025

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The point does not lie on the line . The shortest distance from the point to the line is units. The equation of the perpendicular line passing through is .

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Did you know that the point can be tested to see if it lies on the line described by the equation ? To check, you simply substitute and calculate . You’ll get . Since -2 does not equal 7, the point does not lie on the line!
Now, if you’re ever asked to find the equation of a line parallel to that passes through the point , you’ll know that parallel lines have the same slope! The slope here is 1, so the new line’s equation can be written as . Using the point helps you find ‘b’ by substituting the coordinates. Voilà, the equation becomes !

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