J M.

asked • 01/16/24

Find the point (x,y) on the line y=−3x−3 that is equidistant from the points (−10,−4) and (3,3).

Doug C.

All points that are equidistant from (-10,-4) and (3,3) lie on the perpendicular bisector of the segment with those points as endpoints. Find the equation of the perpendicular bisector. Then find the point of intersection of that line with the line y = -3x-3. That point lies on the given line and also on the perpendicular bisector and is therefore equidistant from those points.
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01/16/24

Doug C.

Check your work here: desmos.com/calculator/5hcm2n0szo
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01/16/24

2 Answers By Expert Tutors

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Dayv O. answered • 01/17/24

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Caring Super Enthusiastic Knowledgeable Pre-Calculus Tutor

Anthony T. answered • 01/16/24

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CS & Math Student | Tutor for Calculus, Algebra, SAT Math

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