Question

For each graph given below,four linear equations are given.Out of these find the equation that represents the given graph.
i) Equations are
A)y=x
B)x+y=0
C)y=2x
D)2+3y=7x
ii) Equations are
A)y=x+2
B)y=x-2
C)y= -x+2
D)x+2y=6
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Answer 1

Answer:

I) Correct option=(B) :: X+y=0

2) Correct option;; (C) :: y= -x+2

Answer 2

$\huge\red{Answer}$

1. From the graph we see (1,-1)(0,0)(-1,1)lie on the same line. So these are the solutions of the required equation i.e. if we substitute these points in the required equation it should be satisfied.So, we have to find an equation that should be satisfied by these pairs.If we substitute (1,-1) in the first equation Y = X it is not satisfied.So y=X is not the required equation.Putting (1,-1) in X+Y=0 we find that it satisfies the equation.In fact all the three points satisfy the second equation.So X+Y=0 is the required equation.We now check weather y=2x and 2+3y=7x are also satisfied by (1,-1)(0,0) and (-1,1).We find their not satisfied by even one of the prairs, live alone all three.So, they are not the required equations.
2. The poems on the line are (2,0),(0,2)and(-1,3).All these points don't satisfy the first and second take the third equation y=-x+2.If we substitute the about three points in the equation, it is required equation is y=-x+2.Check whether this point satisfies the equation X+2y=6.