Write the equation of the circle x2 + y2 – 4x + 6y + 9 = 0 in standard form.

Sagot :

Answer:

[tex]x = 4 y \: + \: \frac{9}{2} \: y [/tex]

step_by_step Explanation:

= x2 + y2 4x + 6y + 9=0

= x ×2 + y ×2 4x + 6y + 9=0

Use the commutative property to ⬇️ recorder the terms.

Into....⤵️

= 2x + 2y 4x + 6y + 9=0

= 2x + 2y 4x + 6y + 9=0

⬇️ Collect like terms.

Into......⤵️

= 2x + 8y + 9=0

= 2x + 8y + 9=0

Move the expression to the right_hand ⬇️ side and change its sign.

Into....⤵️

= 2x= 8y 9

then.. the last ..

Divide both sides of the equation by ⬇️ 2

Into..⤵️

x = 4y + 9/2 y

The answer is

[tex]x = 4y + \frac{9}{2} y[/tex]

hopefully it helps=)

study=)