SOLUTION: Find all points on the x-axis that are a distance 5 from P(−2, 3). (x, y) = (smaller x-value) (x, y) = (larger x value)

Algebra ->  Coordinate-system -> SOLUTION: Find all points on the x-axis that are a distance 5 from P(−2, 3). (x, y) = (smaller x-value) (x, y) = (larger x value)      Log On


   

Question 1187851: Find all points on the x-axis that are a distance 5 from
P(−2, 3).

(x, y) = (smaller x-value)
(x, y) = (larger x value)
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Draw this and P is 3 units above the x-axis. That is one leg of a right triangle. The hypotenuse of this right triangle is 5, the distance to the x-axis.
Therefore, the other leg is 4 units from x=-2, or at -6 and +2
so the points are (-6, 0) and (2,0).
graph%28300%2C300%2C-7%2C3%2C-2%2C4%2C%283%2F4%29x%2B4.5%2C%28-3%2F4%29x%2B1.5%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find all points on the x-axis that are a distance 5 from
P(-2, 3).
(-7, 3) = (smaller x-value)
(3, 3) = (larger x value)