Write the following phrase as a variable expression. use x to represent a number

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: