SOLUTION: PLEASE ME. FIND THE POINT EQUIDISTANT FROM (-6, -1) AND (-1, 2) AND AT A DISTANCE 5 FROM (-2, 7). THANKS IN ADVANCE

Question 867626: PLEASE ME. FIND THE POINT EQUIDISTANT FROM (-6, -1) AND (-1, 2) AND AT A DISTANCE 5 FROM (-2, 7). THANKS IN ADVANCE
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Find midpoint of the first two points.
, .
Slope of the first two points, .
The LINE containing all points equidistant from those two first given points is , and you can find b using either of those two given points.
;
The equation of the needed line is then .
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Notice that the two slopes are negative reciprocals of each other. versus .

Now you have a variable point ( x, -(5/3)x-11 ) which is 5 units distance from the point (-2, 7). Arrange these in the Distance Formula to solve for the x coordinate (two of them) for this particular point(s) on the line of .
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I have not finished, but only explained what to do for finishing.
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