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Ex.4.3 Q5 Linear Equations in Two Variables Solution - NCERT Maths Class 9

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Question

From the choices given below, choose the equation whose graphs are given in the following figures.

For the first figure For the second figure
(i) \(y = x\) (i) \(y = x + 2\)
(ii) \(x + y = 0\) (ii) \(y = x − 2\)
(iii) \(y = 2x\) (iii) \(y = − x + 2\)
(iv) \(2 + 3y = 7x\) (iv) \(x + 2y = 6\)

 Video Solution
Linear Equations In Two Variables
Ex 4.3 | Question 5

Text Solution

  

What is known?

Graph and equations

What is Unknown?

Given equations is of which graph .

Reasoning:

We can check by substituting coordinate values in given equations

Steps:

For the First Figure:

  • Points on the given line are \((−1, 1)\), \((0, 0),\) and \((1, −1)\).
  • It can be observed that the coordinates of the points of the graph satisfy the equation \(x + y = 0\).

Therefore, \(x + y = 0\) is the equation corresponding to the graph as shown in the first figure.

Hence, (ii) is the correct answer.

For the Second Figure:

  • Points on the given line are \((−1, 3)\), \((0, 2),\) and \((2, 0).\)
  • It can be observed that the coordinates of the points of the graph satisfy the equation \(y = −x + 2\). Therefore, \(y = −x + 2\) is the equation corresponding to the graph shown in the second figure.Hence, (iii) is the correct answer.
 Video Solution
Linear Equations In Two Variables
Ex 4.3 | Question 5