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Tangent line
y − y₁ = m(x − x₁)
Where: m = Tangent line, x = x, x₁ = x₁, y = y, y₁ = y₁
Solved example
Given: x = 7, x_1 = 5, y = 10, y_1 = 4
Find: m (Tangent line)
- Formula: y - y₁ = m·(x - x₁)
- Rearranged for m: m = (y - y₁)/(x - x₁)
- Substitute the values: m = (10 - 4)/(-5 + 7)
- Result: m = 3
Answer: m = 3
Calculator
How to calculate Tangent line
- Write down the formula: y − y₁ = 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 Tangent line?
The formula is y − y₁ = m(x − x₁), where m = Tangent line, x = x, x₁ = x₁, y = y, y₁ = y₁.
What is Tangent line when x = 7, x_1 = 5, y = 10, y_1 = 4?
m = 3. Substitute the values into y − y₁ = m(x − x₁) and simplify.