Function Repository Resource:

# Intercepts

Compute the intercepts of a function with the coordinate axes

Contributed by: Wolfram|Alpha Math Team
 ResourceFunction["Intercepts"][expr,{x,y}] finds the intercepts of the expression expr with respect to axes variables x and y. ResourceFunction["Intercepts"][expr,{x,y},{t}] finds the intercepts of the parametric graph of expr with respect to axes variables x and y and the independent parameter t.

## Details and Options

The first argument expr can be function of just one of the {x, y}, an equation (having head Equal) or a logical combination of equations.
Results of ResourceFunction["Intercepts"][expr,{x,y},] are returned in an analogous form to those of Solve: {{xsolx1,ysoly1,},}

## Examples

### Basic Examples

Find the intercepts of a line:

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Find the intercepts of a parabola:

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Find the intercepts of an implicitly defined circle:

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Find the intercepts of an parametrically defined ellipse:

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### Scope

Intercepts[expr,] can handle the use of symbolic parameters in expr:

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