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Foot of perpendicular
(x − x₁)/a = (y − y₁)/b = −(ax₁ + by₁ + c)/(a² + b²)
Where: a = Foot of perpendicular, b = b, x = x, x₁ = x₁, y = y, y₁ = y₁
Solved example
Given: b = 7, x = 5, x_1 = 10, y = 4, y_1 = 3
Find: a (Foot of perpendicular)
- Formula: (x - x₁)/a = (y - y₁)/b
- Rearranged for a: a = b·(x - x₁)/(y - y₁)
- Substitute the values: a = 7·(-10 + 5)/(-3 + 4)
- Result: a = -35
Answer: a = -35
Calculator
How to calculate Foot of perpendicular
- Write down the formula: (x − x₁)/a = (y − y₁)/b = −(ax₁ + by₁ + c)/(a² + b²).
- Note the known values (b, x, x₁, y, y₁).
- Substitute them and simplify to find a.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Foot of perpendicular?
The formula is (x − x₁)/a = (y − y₁)/b = −(ax₁ + by₁ + c)/(a² + b²), where a = Foot of perpendicular, b = b, x = x, x₁ = x₁, y = y, y₁ = y₁.
What is Foot of perpendicular when b = 7, x = 5, x_1 = 10, y = 4, y_1 = 3?
a = -35. Substitute the values into (x − x₁)/a = (y − y₁)/b = −(ax₁ + by₁ + c)/(a² + b²) and simplify.