Point b has coordinates (2,1). the x-coordinate of point a is negative 7. the distance between point a and point b is 15 units. what are the possible coordinates of point a?

(-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

Now, squaring both sides we get  

⇒ 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)

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Step-by-step explanation: