Subscribe to our YouTube channel for the latest videos, updates, and tips.


Problems on Plotting Points in the x-y Plane

Here we will learn how to solve different types of problems on plotting points in the x-y plane.


1. Plot the points in the same figure.

(i) (3, -1), (ii) (-5, 0), (iii) (3, 4.5), (iv) (-1, 6), (v) (-2.5, -1.5)

Solution:

Draw two mutually perpendicular lines X’OX and Y’OY which are the x and y axes respectively. 

Indicate the numbers (on a certain scale) on both the lines with O and 0.

Problems on Plotting Points in the x-y Plane

(i) Let A = (3, -1). Here the x-coordinate = 3 and y-coordinate = -1. So, move 3 units from O towards the positive direction of the x-axis. From that place move 1 unit towards the negative direction of the y-axis. The position of the point now reached has the coordinates (3, -1).

(ii) Let B = (-5, 0). Here, the x-coordinate = -5 and the y-coordinate = 0. So, the point is on the x-axis. Move 5 units from O towards the negative direction of the x-axis. The position of the point reached has the coordinates (-5, 0).

(iii) Let C = (3, 4.5). Here, the x-coordinate = 3 and the y-coordinate = 4.5. So, move 3 units from O towards the positive direction of the x-axis. From that place move 4.5 units towards the positive direction of the y-axis. The position of the point now reached has the coordinates (3, 4.5).

(iv) Let D = (-1, 6). Here, the x-coordinate = -1 and the y-coordinate = 6. So, move 1 unit from O towards the negative direction of the x-axis. From that place move 6 units towards the positive direction of the y-axis. The position of the point now reached has the coordinates (-1, 6).

(v) Let E = (-2.5, -1.5). Here, the x-coordinate = -2.5 and the y-coordinate = -1.5. So, move 2.5 units from O towards the negative direction of the x-axis. From that place move 1.5 units towards the negative direction of the y-axis. The position of the point now reached has the coordinates (-2.5, -1.5).




2. Plot the points (12, -8) and (-16, -20) in the x-y plane.

Solution:

Taking 1 cm = 4 as the scale of representation the points are plotted as shown below.

(i) Let P = (12, -8). Here the x-coordinate = 12 and y-coordinate = -8. So, move 12 units from O towards the positive direction of the x-axis. From that place move 8 units towards the negative direction of the y-axis. The position of the point now reached has the coordinates (12, -8).

Plot the Points on the Coordinate Graph

(ii) Let Q = (-16, -20). Here, the x-coordinate = -16 and the y-coordinate = -20. So, move 16 units from O towards the negative direction of the x-axis. From that place move 20 units towards the negative direction of the y-axis. The position of the point now reached has the coordinates (-16, -20).






9th Grade Math

From Problems on Plotting Points in the x-y Plane to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Worksheet on Average | Word Problem on Average | Questions on Average

    May 17, 25 05:37 PM

    In worksheet on average interest we will solve 10 different types of question. Find the average of first 10 prime numbers. The average height of a family of five is 150 cm. If the heights of 4 family

    Read More

  2. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  3. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More

  4. Rounding Decimals | How to Round a Decimal? | Rounding off Decimal

    May 16, 25 11:13 AM

    Round off to Nearest One
    Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate

    Read More

  5. Worksheet on Rounding Off Number | Rounding off Number | Nearest 10

    May 15, 25 05:12 PM

    In worksheet on rounding off number we will solve 10 different types of problems. 1. Round off to nearest 10 each of the following numbers: (a) 14 (b) 57 (c) 61 (d) 819 (e) 7729 2. Round off to

    Read More