If the distance between two points on the coordinate axes is , which of the following could be the coordinates of the two points?

a. (5, –2) and (2, 2)
b. (3, 0) and (–4, –2)
c. (1, 6) and (6, –1)
d. (0, –5) and (4, –2)
e. (–3, 2) and (1, 9)

Question

If the distance between two points on the coordinate axes is , which of the following could be the coordinates of the two points?

a. (5, –2) and (2, 2) 
b. (3, 0) and (–4, –2) 
c. (1, 6) and (6, –1) 
d. (0, –5) and (4, –2) 
e. (–3, 2) and (1, 9)

anonymous · Answer

the distance formula is 
$$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$$

and you left out the distance
but substitute the answers into the distance formula and see which one is equal to the distance