Education
Slope Intercept Form Calculator
Convert common line inputs into y = mx + b. Use slope and intercept, two coordinate points, or standard form Ax + By = C, then get slope, y-intercept, x-intercept, and steps.
What is slope-intercept form?
Slope-intercept form writes a line as y = mx + b, where m is the slope and b is the y-intercept. OpenStax describes how the graph of a line is connected to the slope-intercept form of an equation, including how the slope and y-intercept control the graph.
y = mx + b
m = slope
b = y-intercept
When this calculator is better than a basic converter
A thin slope-intercept calculator only accepts m and b. This one handles the common homework variations: slope plus intercept, two points, and standard form Ax + By = C. It also returns the x-intercept, y-intercept, and the step used to build the equation.
Common line equation forms
| Form | Best when you know |
|---|---|
| y = mx + b | Slope and y-intercept |
| y - y₁ = m(x - x₁) | Slope and one point |
| Ax + By = C | Standard-form equation or intercepts |
Common questions
-
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
-
Find slope with (y2-y1)/(x2-x1), then substitute one point into y = mx + b to solve for b.
-
Every non-vertical line can be written as y = mx + b. Vertical lines cannot because their slope is undefined.
-
The y-intercept is where the line crosses the y-axis. In y = mx + b, it is b.
-
Solve Ax + By = C for y. The result is y = (-A/B)x + C/B when B is not zero.
-
The equation is a horizontal line: y = b.
-
Write y = mx - |b|. For example, b = -3 gives y = mx - 3.
-
It makes graphing quick because you can see the y-intercept and the rate of change immediately.