# 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