Question 658983: Find all of the points of the form
(x, −1)
which are 6 units from the point
(−7, 4).
Use the distance formula and there should be two answers both coordinates with (x,y) values.
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Do it like this:
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Find all of the points on the x-axis which are 4 units from the point (-1,1)
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The vertical distance = 1 (1 unit above the x-axis)
The hypotenuse = 4
Distance on the x-axis from x = -1 is
---> (-1-sqrt(15),0) and (-1+sqrt(15),0)
Answer by MathLover1(20850)  (Show Source):
You can put this solution on YOUR website! 
(x, -1)=( , )
which are 6 units from the point: means the distance is 
(-7, 4) =( , )
 ...both sides raise to the power of two
 .....use quadratic formula to solve for 
solutions:
or
so, the points are (-3.7, -1) and (-7, 4)
or (-10.3, -1) and (-7, 4)
check the distance, it should be :
first, the points (-3.7, -1) and (-7, 4)
 ..round it to whole number
now, the points (-10.3, -1) and (-7, 4)
..round it to whole number
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