Draw the graphs of the following equation, on the same co-ordinate system.

(i) y = x
(ii) y = $-$ x
(iii) y = 2x
(iv) y = $-$ 2x

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Solution

(i) Given: y = x
The table with values of x and y satisfying the given equation is shown below:

x 0 2

y 0 2

(ii) Given: y = $-$ x
The table with values of x and y satisfying the given equation is shown below:

x 0 $-$ 2

y 0 2

(iii) Given: y = 2x
The table with values of x and y satisfying the given equation is shown below:

x 0 1

y 0 2

(iv) Given: y = $-$ 2x
The table with values of x and y satisfying the given equation is shown below:

x 0 $-$ 1

y 0 2

The graph of the given equations is as shown :

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2 x + 3 y = 12

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From the choices given below, choose the equation whose graph is given in Fig. 7.13.

$(i) y = x$ $(i i) x + y = 0$ $(i i i) y = 2 x$ $(i v) 2 + 3 y = 7 x$

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