### Home > A2C > Chapter 13 > Lesson 13.2.1 > Problem13-101

13-101.

Find the equation of an ellipse with center at the midpoint of a segment with endpoints at (−2, −3), (10, −3) and congruent to x2 + 36y2 = 36. Homework Help ✎

Make the given equation equal to 1.

$\frac{x^2}{36}+\frac{y^2}{1}=1$

Find the midpoint of (−2, −3) and (10, −3).

(4, −3)

Write the equation of the congruent ellipse given the information in the hints.