# Solution - Graph of a Linear Equation in Two Variables

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ConceptGraph of a Linear Equation in Two Variables

#### Question

Draw the graph of the following linear equations in two variables:-

x – y = 2

#### Solution

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If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 units. Also read from the graph the work done when the distance travelled by the body is

(i) 2 units (ii) 0 unit

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The taxi fare in a city is as follows:- For the first kilometre, the fare is Rs. 8 and for the subsequent distance it is Rs. 5 per km. Taking the distance covered as x km and total fare as Rs y, write a linear equation for this information, and draw its graph.

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

For the first figure

(i) y = x

(ii) x y = 0

(iii) y = 2x

(iv) 2 + 3y = 7x

For the second figure

(i) y = x +2

(ii) y = x − 2

(iii) y = − x + 2

(iv) x + 2y = 6

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Yamini and Fatima, two students of Class IX of a school, together contributed Rs. 100 towards the Prime Minister’s Relief Fund to help the earthquake victims. Write a linear equation which satisfies this data. (You may take their contributions as Rs. x and Rs. y.) Draw the graph of the same.

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Draw the graph of the following linear equations in two variables:-

3 = 2x + y

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#### BooksVIEW ALL [1]

Solution for concept: Graph of a Linear Equation in Two Variables. For the course 8th-10th CBSE
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