Question

In the XY-coordinate plane, point P is a distance of $4$ from the point $(1,1)$. Which of the following could be P?

• A. $(1,2)$
• B. $(1,5)$
• C. $(3,1)$
• D. $(4,1)$

Answer 1

Answer: (B)

$(1,5)$

It may help a lot to make a figure so you can visualize what is going on:
The figure above shows the point $(1,1)$ along with the five possible answers for point P.

Only answer B, point $(1,5)$, is a distance of $4$ from point $(1,1)$: the y value increases by $4$ units to go from $(1,1)$ to $(1,5)$, and the x-value doesn't change.