Let y represent the y-coordinate of point A.
We have been given that point B has coordinates (5,1) The x-coordinate of point A is 0. So coordinates of point A would be (0,y)
The distance between point A and Point B is 13 units.
We will use distance formula to solve our given problem.
Let point A and point A
.
Upon substituting coordinates of both points in distance formula, we will get:
Let us square both sides as:
Upon splitting the middle term, we will get:
Now we will use zero product property.
Therefore, the possible coordinates of point A would be and
.