Who is cartesian plane

Clicking the Java Calculator link opens a new browser window that is just large enough to hold the calculator, so the current page is still visible.

If you click the current page while the calculator is open, then the calculator window goes behind the current window, but it can be recovered by clicking the Calculator button on the task bar in a Windows environment. More help on the calculator is available by clicking the Calculator Help link in the box with the calculator links. Try using the calculator for the next exercise. The calculator formula is. Calculations such as this one are done in the box at the top of the calculator.

After typing the formula press the enter key. In most cases, after you press enter, the result is displayed and the cursor moves to the next line.

Then you are ready to do another calculation. With some versions of Internet Explorer the cursor stays where it was when you pressed enter.

In this case you have to move the cursor down to the new line after the result in order to do the next calculation. You can use the down arrow key for this. The calculator keeps a record of the last result in a variable called "a".

Here is an example of the use of the "a" variable. The result 13 is displayed. The value of a can be checked by typing a and enter. The midpoint of the line segment connecting the point x 1 , y 1 to point x 2 , y 2 is. Verify that the two distances d A,M and d M,B are equal. These two axes divide the cartesian plane into 4 parts each part is called a quadrant. There are four corners you need to know about on the graph. In the first quadrant, both the coordinates are positive.

In the second quadrant, x-coordinate is negative whereas the y-coordinate is positive. In the third quadrant, both the coordinates are negative. In the fourth quadrant, the x-coordinate is positive whereas the y-coordinate is negative. Ordered pairs are called the ordinate and abscissa on a Cartesian plane. The distance of any point on the plane from the Y-axis is called the abscissa. The abscissa is the first number in an ordered pair. It is the x-value. The distance of any point on the plane from the X-axis is said to be ordinate.

The ordinate the second number in an ordered pair. It is the y-value. The center point of intersection from which the distances are marked is called the origin. In a two- dimensional plane, the X-axis, and Y-axis intersect at a point is called the origin. The above graph shows four ordered pairs:. The first point -3,1 , -3 is the abscissa and 1 is the ordinate. To identify the ordered pairs or to locate points, you start at the origin and count the units along each axis.

This point shows a student who went four clicks to the right and two clicks down. Students may also solve for a missing variable if x or y is unknown by simplifying the equation until both variables have a solution and can be plotted on a Cartesian plane.

This process forms the basis for most early algebraic computations and data mapping. Take a look at the Cartesian plane to the left and notice the four points that have been plotted on this plane.

Can you identify the ordered pairs for the red, green, blue, and purple points? Take some time then check your answers with the correct responses listed below:. These ordered pairs might remind you a bit of the game Battleship wherein players have to call out their attacks by listing ordered pairs of coordinates like G6, wherein letters lie along the horizontal x-axis and numbers form along the vertical y-axis.

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