The point (3/5,4) would lie on the circle if it makes the equation of the circle to be true
Latansha's equation of the circle is wrong
The given parameters are:
Center = (a,b) = (0,-2)
Radius, r = 7
The equation of a circle is:
[tex](x - a)^2 + (y - b)^2 = 0[/tex]
This gives
[tex](x - 0)^2 + (y + 2)^2 = 0[/tex]
Rewrite as:
[tex]x^2 + (y + 2)^2 = 0[/tex]
In Latanya's first step, we have:
[tex]x^2 + (y - 2)^2 = 0[/tex]
By comparing her first step with x^2 + (y + 2)^2 = 0, we can see that her equation is wrong
Hence, Latansha's error is that she determine the equation of the circle, wrongly.
Read more about circle equations at:
https://brainly.com/question/1559324
