Question

How do you find all points on the y-axis of a Cartesian coordinate system that are 13 units from (5,0)?

Answer 1

We are looking for points of the form `(0,y)`

Explanation:

The distance from the original point is:
`d^2=(Deltax)^2+(Deltay)^2`

`13^2=(5-0)^2+(0-y)^2=5^2+y^2->`

`y^2=169-25=144->y=+-12`

So the points are `(0.+12)and(0,-12)`