How to plot a point in a cartesian plane — lesson. Mathematics CBSE, Class 9.

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Let us consider an example of how to plot a point

$(6,5)$ in the cartesian plane:

1. Let us start from the origin

$(0,0)$ , move

$6$ units along

$OX$ .

2. From the point

$6$ in the

$x$ - axis, move

$5$ units parallel to

$OY$ to reach the point

$(6,5)$ .

Example:

Plot the points

$(2,-3)$ ,

$(4,5)$ ,

$(-7,3)$ ,

$(0,3)$ and

$(-4,0)$ in the cartesian plane.

Solution:

(

$i$ ) To plot

$(2,-3)$ :

Start from the origin

$(0,0)$ , move

$2$ units along with

$OX$ and from point

$2$ in the

$x$ - axis move

$3$ units parallel to

$OY'$ .

(

$ii$ ) Plot

$(4,5)$ :

Start from the origin

$(0,0)$ , move

$4$ units along with

$OX$ and from point

$4$ in the

$x$ - axis move

$5$ units parallel to

$OY$ .

(

$iii$ ) Plot

$(-3,3)$ :

Start from the origin

$(0,0)$ , move

$3$ units along with

$OX'$ and from point

$-3$ in the

$x$ - axis move

$3$ units parallel to

$OY$ .

(

$iv$ ) Plot

$(0,3)$ :

Since the

$x$ - coordinate is

$0$ , and the

$y$ - coordinate is

$3$ , the point lies on the

$y$ - axis. Start from

$(0,0)$ , move

$3$ units along

$OY$ .

(

$v$ ) Plot

$(-4,0)$ :

Since the

$x$ - coordinate is

$-4$ , and the

$y$ - coordinate is

$0$ , the point lies on the

$x$ - axis. Start from

$(0,0)$ , move

$4$ units along

$OX'$ .

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6. How to plot a point in a cartesian plane

Theory: