Question

Plot the following points on a graph paper and find out where do they lie?
\[\begin{align}
  & \left( 1 \right)\text{ }A\left( 7,0 \right) \\
 & \left( 2 \right)\text{ }B\left( -5,0 \right) \\
 & \left( 3 \right)\text{ }C\left( 0,4 \right) \\
 & \left( 4 \right)\text{ }D\left( 0,-3 \right) \\
\end{align}\]

Answer 1

Hint: In this question, we are given coordinates of four points and we have to plot them on the graph. For this, we will first draw the axis and then mark the coordinates step by step. We also have to tell where these points lie. For this, we will understand the quadrants in graph and axis in graph.

Complete step-by-step answer:
We are given coordinate of points as:
\[\begin{align}
  & \left( 1 \right)\text{ }A\left( 7,0 \right) \\
 & \left( 2 \right)\text{ }B\left( -5,0 \right) \\
 & \left( 3 \right)\text{ }C\left( 0,4 \right) \\
 & \left( 4 \right)\text{ }D\left( 0,-3 \right) \\
\end{align}\]
First draw x and y axis on the graph and mark the units along x and y axis by taking 1 unit for one box. Now let us plot points one by one.
(1) Let us plot point A (7,0).
Here, x coordinate of A is 7 and y coordinate is 0. Since, 7 is positive therefore, we will move 7 places to the right from the origin along the x axis and then move 0 points up, hence the point will stay on the x axis only. Points will be marked as 7 units on the positive side of the x axis.
(2) Let us plot point B (-5,0).
Here, x coordinate of B is -5 and the y coordinate of B is 0. Since, -5 is negative therefore, we will move 5 places from origin along the x axis to the left. Coordinate of y is 0, so we will not move up and hence, the point will stay on the x axis only. Points will be marked as 5 units and negative sides of the x axis.
(3) Let us plot point C (0,4).
Here, x coordinate of C is 0 and y coordinate of C is 4. Since, x coordinate is 0, therefore the point will stay on y axis. As y coordinate is positive, so we will move 4 places upwards from origin along y axis. Points will be marked at 4 units on the positive side of y axis.
(4) Let us plot point D (0,-3).
Here, x coordinate of D is 0 and y coordinate of D is -3. Since, x coordinate is 0 therefore, the point will stay on y axis. As y coordinate is negative, so we will move 3 places downwards from origin along y axis. Points will be marked at 3 units on the negative side of y axis.
Let us now use the information to plot points:

Note: Students should note that, here all points lie on x axis or y axis only. If points were to lie in quadrant so quadrants will be counted as I as top right corner and then II as top left corner, III as bottom left corner and IV as bottom right corner. Students should remember that, when x coordinate is zero, point lies on y axis and when y coordinate is zero, point lies on x axis.