Slope Intercept Form Calculator
Two points in, y = mx + b out, with every related form.
Enter your values
Enter the x₁ you are working with.
Enter the y₁ you are working with.
Enter the x₂ you are working with.
Enter the y₂ you are working with.
Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.
- Equation
- y = 3x − 1
- Slope m
- 3
- y-intercept b
- -1
- x-intercept
- 0.33333
- Point-slope form
- y − 5 = 3(x − 2)
- Angle with the x-axis
- 71.57°
Quick answer
The slope between two points is (y₂ − y₁) ÷ (x₂ − x₁), and the intercept follows from b = y₁ − m·x₁, giving y = mx + b.
y = mx + b, m = Δy ÷ Δx
At a glance
| What it does | Two points in, y = mx + b out, with every related form. |
|---|---|
| Category | Math |
| Inputs needed | x₁, y₁, x₂, y₂ |
| Main output | Equation |
| Formula | y = mx + b, m = Δy ÷ Δx |
| Cost | Free — no sign-up, no download |
How to use the Slope Intercept Form Calculator
- 1Enter the coordinates of the first point.
- 2Enter the coordinates of the second point.
- 3Copy whichever form you need — slope-intercept or point-slope.
Inputs explained
- x₁
- Enter the x₁ you are working with.
- y₁
- Enter the y₁ you are working with.
- x₂
- Enter the x₂ you are working with.
- y₂
- Enter the y₂ you are working with.
Worked example
Using the values the calculator loads with:
Inputs
- x₁2
- y₁5
- x₂6
- y₂17
Results
- Equationy = 3x − 1
- Slope m3
- y-intercept b-1
- x-intercept0.33333
- Point-slope formy − 5 = 3(x − 2)
- Angle with the x-axis71.57°
Frequently asked questions
What does the slope actually mean?
The change in y for every 1 unit increase in x — a rate of change, whether that is dollars per hour or metres per second.
What if both points are the same?
One point does not define a line; you need two distinct points.
What do I need to enter into the Slope Intercept Form Calculator?
Just 4 values: x₁, y₁, x₂, y₂. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.
How does the Slope Intercept Form Calculator work out the answer?
The slope between two points is (y₂ − y₁) ÷ (x₂ − x₁), and the intercept follows from b = y₁ − m·x₁, giving y = mx + b. It applies the formula y = mx + b, m = Δy ÷ Δx and shows the working so you can check each step by hand.
Is the Slope Intercept Form Calculator free, and do I need an account?
It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.