हिन्दी में पढ़ेंHome › Formulas › Straight lines › Point–slope form
Point–slope form
y − y₁ = m(x − x₁)
Where: m = slope, x = x, x₁ = x₁, y = y, y₁ = y₁
Solved example
Given: x = 7, x_1 = 5, y = 10, y_1 = 4
Find: m (slope)
- 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 Point–slope form
- 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 Point–slope form?
The formula is y − y₁ = m(x − x₁), where m = slope, x = x, x₁ = x₁, y = y, y₁ = y₁.
What is Point–slope form when x = 7, x_1 = 5, y = 10, y_1 = 4?
m = 3. Substitute the values into y − y₁ = m(x − x₁) and simplify.