Respuesta :

Answer:

D: (-1,2)

Step-by-step explanation:

The X coordinate is between 2 and -4. There is a difference of 6, so you should do -4 + (6/2) = -1.

so the X coordinate is -1

The y coordinate is between 0 and 4. There is a difference of 4, so you should do 0 + (4/2) = 2.

so the y coordinate is 2

This results in the centre being (-1,2)

The coordinates of the center of the equation is (- 1, 2).

We have a ellipse in the figure.

We have to find out the coordinates of the center of ellipse (x, y).

What is an general equation of Ellipse?

The general equation of an ellipse in the rectangular coordinate system is -

[tex]\frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} } = 1[/tex]

In the figure given to us, the center of the ellipse at the point of intersection of the lines of equation -

x + 1 = 0

and

y - 2 = 0

The coordinates of the center -

x = - 1    and   y =  2.

Hence, the coordinates of the center of the ellipse is (- 1, 2).

To solve more questions on ellipse, visit the link below -

https://brainly.com/question/9448628

#SPJ2

Otras preguntas