What are the points on x-coordinate of 1 whose distance from the point (-2,6) is 5?

Answer 1

The point you seek is (1,y). Use the distance formula to find y.

√{[1 - (-2)]² + (y - 6)²} = 5

[1 - (-2)]² + (y - 6)² = 25

9 + (y² - 12y + 36) = 25

y² - 12y + 20 = 0

(y - 2)(y - 10) = 0

y = 2 or 10

There are 2 points: (1,2) and (1,10). Test these solutions.