Name: Solving a Linear Problem by Using Table and Graph
Uploaded: 2019-07-19
Duration: 27 min 40 s
Description: How can you solve a problem using a linear relationship if you are not given an initial value? Let's watch this interesting video to learn about this!

Question

Plot the given points on a graph sheet and check, if the points lie on a straight line. If not, name the shape they form when joined in the given order

(3, 0), (0, 4), (- 3, 0)

and

(0, - 4)

.

Accepted Answer

We need to plot $(3, 0), (0, 4), (- 3, 0)$ and $(0, - 4)$ on a graph sheet and determine the shape they form when joined in the given order.
The steps to plot the given points are,

Draw the $x$ and $y$ axes with a suitable scale.

We need to plot the point $(3, 0)$ .
Here, the $x$ -coordinate is $3$ , which is positive and the $y$ -coordinate is $0$ , which means the point lies on $x$ -axis.
Start from the origin, move $3$ units to the right along the $x$ -axis and mark the point.

We need to plot the point $(0, 4)$ .
Here, the $x$ -coordinate is $0$ and the $y$ -coordinate is $4$ , which is positive.
Hence, the point $(0, 4)$ lies on the $y$ -axis.
Start at the origin move $4$ units towards positive $y$ -axis and mark the point.

We need to plot the point $(- 3, 0)$ .
Here, the $x$ -coordinate is $- 3$ , which is negative and the $y$ -coordinate is $0$ , which means it lies on negative $(3, 0), (0, 4), (- 3, 0)$ -axis.
Start from the origin. Move $3$ units to the left along the $x$ -axis and mark the point.

We need to plot the point $(0, - 4)$ .
Here the $x$ -coordinate is $0$ and the $y$ -coordinate is $- 4$ , which means it lies on the negative $y$ -axis.
Start from the origin. Move $4$ units towards the negative $y$ -axis and mark the point.

Join the points.

After following the steps, we can obtain the graph as shown below.

Hence, the shape formed by joining these points is a rhombus.

$x$	$2$	$4$	$6$	$8$
$y$	$1$	$5$	$9$	$13$

$x$	$2$	$4$	$6$	$8$
$y$	$1$	$5$	$9$	$13$

Height(in $cm$ )	$75$	$90$	$110$	$120$	$130$
Age(in year)	$2$	$4$	$6$	$8$	$10$

Height(in cm)	$75$	$90$	$110$	$120$	$130$
Age(in yr)	$2$	$4$	$6$	$8$	$10$

Height(in cm)	$75$	$90$	$110$	$120$	$130$
Age(in yr)	$2$	$4$	$6$	$8$	$10$

Plot the given points on a graph sheet and check, if the points lie on a straight line. If not, name the shape they form when joined in the given order $(3, 0), (0, 4), (- 3, 0)$ and $(0, - 4)$ .

Important Questions on Introduction to Graphs

Learn and Prepare for any exam you want !

Plot the given points on a graph sheet and check, if the points lie on a straight line. If not, name the shape they form when joined in the given order (3,0),(0,4),(-3,0) and (0,-4).

Important Questions on Introduction to Graphs

Learn and Prepare for any exam you want !

Plot the given points on a graph sheet and check, if the points lie on a straight line. If not, name the shape they form when joined in the given order $(3, 0), (0, 4), (- 3, 0)$ and $(0, - 4)$ .