Question 775486: what is the distance formula and how would i solve this problem. Find all the points having an x-coordinate of 3 whose distance from the point (-2, -1) is 13. (Hint: The unknown points [there are two of them] have coordinates (3,y), where y is to be determined. Use the coordinates of the given point, the distance, and the distance formula to solve for the required values of y.)
Answer by reviewermath(1029)   (Show Source):
You can put this solution on YOUR website! Q:
what is the distance formula and how would i solve this problem. Find all the points having an x-coordinate of 3 whose distance from the point (-2, -1) is 13. (Hint: The unknown points [there are two of them] have coordinates (3,y), where y is to be determined. Use the coordinates of the given point, the distance, and the distance formula to solve for the required values of y.)
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A:
The distance between two point ( ,  ) and ( ,  ) is equal to  .
Therefore, the distance between (-2,-1) and (3,y) is
 = 13
 = 13, square both sides
 = 169
 = 144, get the square roots of both sides
y+1 = ±12
y = -1+12 or y = -1-12
y = 11 or y = -13
Answers:The points are (3, 11) and (3, -13)
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