Question

Given that point F is 5 units from the x-axis and 13 units from the origin. Find all the possible coordinates of point F.

Answer 1

Use the distance formula.

d = √[(x1 - x2)2 + (y1 - y2)2]

d = 5

x1 = 0

x2 = 3

y1 = 0

y2 = ?

√[(0 - 3)2 + (0 - y2)2] = 5

25 = 9 + y22

y2 = √16 = ±4

There are 2 points that meet these criteria: (3,4) and (3,-4). Test the answers