Answer:
(-1, 5)
(-1, -3)
Explanation:
Given that coordinates of point B = (2,1) this means, x2 = 2 & y2 = 1.
The x coordinate of point A = -1
D = 5 units
Let's use the equation for distance between points, it is expressed as:
Solving further, let's square both sides,
![25 = (-1-2)^2 + (a-1)^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/bbvnhbq2rzdyf6ra3khylejnbbigp3oglc.png)
Solving further, we have:
![+/-4 = a - 1](https://img.qammunity.org/2021/formulas/mathematics/high-school/lotf1pxdu9lxk6v3fnfk04pnxbfypvuov3.png)
For the possible values, we have:
![a = 4+1 = 5](https://img.qammunity.org/2021/formulas/mathematics/high-school/32dqutdonkve7erepk637qph5xd3jxizhu.png)
![a = - 4 + 1 = -3](https://img.qammunity.org/2021/formulas/mathematics/high-school/szyc10fqhlzdbyrrduj6critu6dj0ak5lc.png)
Therefore, the possible coordinates of point A are:
(-1, 5)
(-1, -3)