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General form
x² + y² + 2gx + 2fy + c = 0
Where: c = y-intercept, f = f, g = g, x = x, y = y
Solved example
Given: f = 7, g = 5, x = 10, y = 4
Find: c (y-intercept)
- Formula: c + 2·f·y + 2·g·x + x² + y² = 0
- Rearranged for c: c = -2·f·y - 2·g·x - x² - y²
- Substitute the values: c = -10² - 2·10·5 - 4² - 2·4·7
- Result: c = -272
Answer: c = -272
Calculator
How to calculate General form
- Write down the formula: x² + y² + 2gx + 2fy + c = 0.
- Note the known values (f, g, x, y).
- Substitute them and simplify to find c.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for General form?
The formula is x² + y² + 2gx + 2fy + c = 0, where c = y-intercept, f = f, g = g, x = x, y = y.
What is General form when f = 7, g = 5, x = 10, y = 4?
c = -272. Substitute the values into x² + y² + 2gx + 2fy + c = 0 and simplify.