Which of the following is the equation for the graph shown? graph of an ellipse on a coordinate plane going through approximately 5 and one half comma 0, approximately negative 5 and one half comma zero, approximately 0 comma 2, and approximately 0 comma negative 2 with points inside ellipse at negative 5 comma 0 and 5 comma 0, and lines x equals 6 and x equals negative 6

x squared over 5 plus y squared over 30 equals 1
x squared over 5 minus y squared over 30 equals 1
x squared over 30 plus y squared over 5 equals 1
x squared over 30 plus y squared over 25 equals 1

correct answer is option 3:

Step-by-step explanation:

Given that

Ellipse passes through coordinates:

Points inside ellipse (5, 0) and (-5,0).

Given the options:

Let us try to put the coordinates in the options and check which equation gets satisfied.

Putting x = 0, and trying to find out y in option 1.

But, the points are

So, option (1) is false.

Putting x = 0 to find y in option 2.

y will have imaginary values so ellipse not possible at x = 0.

So, option (2) is false.

Putting x = 0 to find y in option 3.

Putting y = 0 to find y in option 3.

So, the points are satisfied.

Putting (5, 0) and (-5,0) in LHS of option 3:

i.e. both the points are inside ellipse.

Hence correct answer is option 3:

i need more details

step-by-step explanation:

1/8 is left? add a bit more info plz