Question

Convert the following Standard Form equation to an equation in General For (x-7)^2 + (y + 3)^2 = 49​

Answer 1

x² + y² - 14x + 6y + 9 = 0

Explanation:

the equation of a circle in general form is

x² + y² + 2gx + 2fy + c = 0

given

(x - 7)² + (y + 3)² = 49 ← expand factors using FOIL

x² - 14x + 49 + y² + 6y + 9 = 49 , that is

x² + y² - 14x + 6y + 58 = 49 ( subtract 49 from both sides )

x² + y²- 14x + 6y + 9 = 0 ← in general form

Answer 2

x+y=11

Explanation:

take the square root of both sides.

(x-7) + (y+3) = 7

collect like terms

x+y = 7+7-3