Cartesian and Polar Point Grapher: Plot Points with Rotated Axes

Explore the world's most advanced point grapher, available for free online. Create precise point graphs or seamlessly construct line graphs by connecting points with either Cartesian or polar coordinates. This unique point plotter allows you to rotate the axes, giving you the power to graph points in an oblique (skew) coordinate system.

About the Point Grapher

This online point grapher (aka point plotter, coordinate grapher, or coordinate plotter) is designed to graph points in a plane. You'll provide the points as ordered pairs—with a simple format as described below.

A User-Friendly Cartesian & Polar Point Grapher

Our integrated Cartesian and polar point grapher makes plotting simple in both Cartesian and polar coordinate systems. To graph points given by ordered pairs (a,b), simply enter them as a,b;

These pairs can represent points in either Cartesian coordinates or polar coordinates, and our point plotter will graph them based on the coordinate system you choose.

Our polar point plotter offers maximum flexibility, accepting angles (θ) in radians, degrees, or grads—which you can easily select.

Point Plotting in Oblique Coordinate Systems Capability

Our advanced online point grapher is the world's only point plotter that supports axis rotation, enabling you to graph points in an oblique coordinate system.

With this powerful capability, our oblique point grapher lets you rotate individual axes, automatically updating the point graphs, line segments, or polygons formed by connecting the points.

Note: You can even rotate an axis using your mouse: Hold down the Alt key, click on the axis, and move your mouse to rotate it. Click again (with the Alt key pressed) to lock the axis into its new position. For a complete guide to all mouse controls, refer to MouseMatics.

Animate Axis Rotation: x y ► ⬛

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f(x) =

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Label Axes x-Axis: y-Axis:

Translate Origin O_x: O_y:

Rotate Axes x-Axis°: y-Axis°:

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Show angular axes Done

Disable Soft Keyboard

To copy or save graphs right click on an image of the graph(s) below and select "Copy image" or "Save image ..." from the pop-up menu.

Instructions for Using Our Point Grapher

MouseMatics: Did you know? You can use your mouse to rotate axes, change scales, and translate the origin.

Tips - As you type:

pi is replaced by π.

Entering Points into Point Plotter

To use our online Cartesian and polar point plotter, simply enter the points (a₁,b₁),(a₂,b₂),... as a₁,b₁; a₂,b₂; ... In other words, separate the coordinates of each point by a comma and the points themselves by a semicolon. Note that parentheses are excluded, and blank spaces are optional (see the note below).

By default, points are plotted in the Cartesian coordinate system. However, simply select the Polar checkbox, and our coordinate grapher will seamlessly switch to its built-in polar coordinate system. This means the components of your ordered pairs will be treated as polar coordinates—typically represented as (r,θ)—and plotted accordingly.

You can use constant expressions such as 1/2+sin(π/3) for point coordinates.

Example: 1,2; 3/4,4; -2,sin(π/6); (This will plot three points). If you choose degrees mode, you can simply type sin(30), as π/6 (radians) is equal to 30°.

Connecting Points

The point grapher allows you to connect points with line segments to form line graphs or polygons by pressing the Connect button. This toggle button will connect the points in the focused expression box. Press it again to Unconnect the points.

Note: When connecting the points, if the last point is followed by a semicolon, the point plotter will connect it to the first point—forming a (closed) polygon.