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Normal line
y − y₁ = −(1/m)(x − x₁)
Where: m = Normal line, x = x, x₁ = x₁, y = y, y₁ = y₁
Solved example
Given: x = 7, x_1 = 5, y = 10, y_1 = 4
Find: m (Normal line)
- Formula: y - y₁ = -(x - x₁)/m
- Rearranged for m: m = (-x + x₁)/(y - y₁)
- Substitute the values: m = (5 - 7)/(10 - 4)
- Result: m = -0.333333
Answer: m = -0.333333
Calculator
How to calculate Normal line
- Write down the formula: y − y₁ = −(1/m)(x − x₁).
- Note the known values (x, x₁, y, y₁).
- Substitute them and simplify to find m.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Normal line?
The formula is y − y₁ = −(1/m)(x − x₁), where m = Normal line, x = x, x₁ = x₁, y = y, y₁ = y₁.
What is Normal line when x = 7, x_1 = 5, y = 10, y_1 = 4?
m = -0.333333. Substitute the values into y − y₁ = −(1/m)(x − x₁) and simplify.