Question

"Question 5 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

Class 9 - Math - Linear Equations in Two Variables Page 74"

Answer 1

first graph equation is x+y = 0
second graph equation is y = -x+2
hope this helps

Answer 2

In fig. (a ) given points are(0,0),(-1,1),(1,-1),

So these points will satisfy the equation of line.

At(-1,1), x+y=-1+1=0

At (0,0), x+y=0+0=0

At(1,-1),x+y=1-1=0

i.e these points satisfy the equation X + Y = 0.

 

Hence, given graph in fig. a  represents the equation X + Y = 0.

In figure (b) given points are(-1,3),(0,2)&(2,0).

 

So, these points will satisfy the equation of line.

At(-1,3), x+y=-1+3=2

At (0,2), x+y=0+2=2

At(2,0),x+y=2-0=2

i.e these points satisfy the equation X + Y = 2

 

Hence, given graph in fig. b represents the equation X + Y = 2, i.e 

y=-x+2

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Hope this will help you..