Calculate x and y intercepts, slope, and equation from linear equations, two points, or standard form. Perfect for algebra, geometry, and graphing applications.
Please enter valid linear equations or coordinate points.
Comprehensive intercept calculations with detailed explanations
Find x-intercepts by setting y = 0 and solving for x
Find y-intercepts by setting x = 0 and solving for y
Calculate slope from two points or linear equations
Support for slope-intercept, two-point, and standard forms
Understanding intercept calculations and linear equations
Input your linear equation, two points, or slope and y-intercept values.
Choose from linear equation, slope-intercept form, two points, or standard form.
Receive intercepts, slope, equation, and step-by-step calculations.
Set y = 0, solve for x
Set x = 0, solve for y
m = (y₂ - y₁)/(x₂ - x₁)
Common linear equation patterns and their intercepts
X-intercept: (-1.5, 0)-intercept: (0, 3)
X-intercept: (4, 0)-intercept: (0, 4)
Slope: 2, Equation: y = 2x + 3
Slope: 1, Equation: y = x + 2
Common questions about intercepts and linear equations
An x-intercept is the point where a line crosses the x-axis. At this point, y = 0. It's found by setting y = 0 in the equation and solving for x.
A y-intercept is the point where a line crosses the y-axis. At this point, x = 0. It's found by setting x = 0 in the equation and solving for y.
For y-intercept: substitute x = 0 and solve for y. For x-intercept: substitute y = 0 and solve for x. For slope-intercept form y = mx + b, the y-intercept is b and x-intercept is -b/m.
Use the slope formula: m = (y₂ - y₁)/(x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the two points on the line.
Slope-intercept form is y = mx + b (m = slope, b = y-intercept). Standard form is Ax + By + C = 0. Both can be used to find intercepts, but slope-intercept form makes it easier to identify the slope and y-intercept directly.
Yes. Horizontal lines (y = constant) have no x-intercept unless y = 0. Vertical lines (x = constant) have no y-intercept unless x = 0. Lines passing through the origin have both intercepts at (0, 0).
To convert slope-intercept (y = mx + b) to standard form: move all terms to one side. To convert standard form to slope-intercept: solve for y. To find slope-intercept from two points: calculate slope, then use one point to find y-intercept.
Intercepts are used in economics (break-even points), physics (initial conditions), engineering (system analysis), and many other fields where linear relationships model real-world phenomena.
Plot the x-intercept on the x-axis and the y-intercept on the y-axis. Draw a straight line connecting these two points. This line represents the linear equation.
Most lines don't pass through the origin. The x-intercept and y-intercept will be different points. Only lines of the form y = mx (with no constant term) pass through the origin.
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