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Graphical Representation of a Linear Equation in 2 Variables

From the choi...

Question

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

$(i) y = x + 2$ $(i i) y = x - 2$ $(i i i) y = - x + 2$ $(i v) x + 2 y = 6$

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Solution

Points (-1, 3) and (2, 0) lie on the graph of the line.

Now these points, by observation, satisfy the equation y = -x + 2.

$∴ Required equation is y = - x + 2.$

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Similar questions

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

Q. From the choices given below, choose the equation whose graph is given in the figure.

(i) y = x

(ii) x + y = 0

(iii) y = 2x

(iv) 2 + 3y = 7x

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

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

Q. From the choices given below, choose the equation whose graphs are given in Fig. (i) and Fig. (ii).

For fig. (i)	For fig. (ii)
(i) $y = x$	(i) $y = x + 2$
(ii) $x + y = 0$	(ii) $y = x - 2$
(iii) $y = 2 x$	(iii) $y = - x + 2$
(iv) $2 + 3 y = 7 x$	(iv) $x + 2 y = 6$

Q. Question 5
From the choices given below, choose the equation whose graphs are given in Fig.

4.6

4.7

F o r F i g . 4. 6

F o r F i g . 4.7

(i) y = x

(i) y = x + 2

(i i) x + y = 0

(i i) y = x - 2

(i i i) y = 2 x

(i i i) y = - x + 2

(i v) 2 + 3 y = 7 x

(i v) x + 2 y = 6

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