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Lists the intercepts of the following equation. 9x^2+4y^2=36

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Answer to a math question Lists the intercepts of the following equation. 9x^2+4y^2=36

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Ali

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1. Find the x-intercepts:
- Set $ y = 0 $ in $ 9x^2 + 4y^2 = 36 $:

9x^2 + 4(0)^2 = 36

9x^2 = 36

x^2 = 4

x = \pm 2

- Hence, the x-intercepts are

(\pm 2, 0)

.

2. Find the y-intercepts:
- Set $ x = 0 $ in $ 9x^2 + 4y^2 = 36 $:

9(0)^2 + 4y^2 = 36

4y^2 = 36

y^2 = 9

y = \pm 3

- Hence, the y-intercepts are

(0, \pm 3)

.

Therefore, the intercepts are:
- x-intercepts:

(\pm 2, 0)

- y-intercepts:

(0, \pm 3)

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Lists the intercepts of the following equation. 9x^2+4y^2=36

Answer to a math question Lists the intercepts of the following equation. 9x^2+4y^2=36

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