Answer:
(-7,-11) or (-7,13)
Step-by-step explanation:
Let us assume that the possible coordinates of point A are (-7,k).
Now, the distance between point B(2,1) and point A(-7,k) is 15 units.
So, we can write [tex]\sqrt{(-7-2)^{2}+(k-1)^{2} } = 15[/tex]
Now, squaring both sides we get
[tex](-7-2)^{2}+(k-1)^{2} = 225[/tex]
⇒ 81 + (k - 1)² = 225
⇒ (k - 1)² = 144
⇒ k - 1 = ± 12
⇒ k = - 11 and k = 13
Therefore, the possible coordinates of point A are (-7,-11) or (-7,13). (Answer)
