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Plane — intercept form
x/a + y/b + z/c = 1
Where: a = Plane — intercept form, b = b, c = y-intercept, x = x, y = y, z = z
Solved example
Given: b = 7, c = 5, x = 10, y = 4, z = 3
Find: a (Plane — intercept form)
- Formula: z/c + y/b + x/a = 1
- Rearranged for a: a = -b·c·x/(-b·c + b·z + c·y)
- Substitute the values: a = -10·5·7/(3·7 + 4·5 - 5·7)
- Result: a = -58.333333
Answer: a = -58.333333
Calculator
How to calculate Plane — intercept form
- Write down the formula: x/a + y/b + z/c = 1.
- Note the known values (b, c, x, y, z).
- Substitute them and simplify to find a.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Plane — intercept form?
The formula is x/a + y/b + z/c = 1, where a = Plane — intercept form, b = b, c = y-intercept, x = x, y = y, z = z.
What is Plane — intercept form when b = 7, c = 5, x = 10, y = 4, z = 3?
a = -58.333333. Substitute the values into x/a + y/b + z/c = 1 and simplify.