Question

What is the solution to the system that is created by the equation y= -x+6 and the graph shown below?





A. (–8, –4)
B.(–4, –2)
C. (4, 2)
D. (6, 3)

Answer 1

Hello mate!

As given

y = - x + 6

Keep once x = - 8 and y = - 4
- 4 = - ( - 8 ) + 6

Hence, this is not equation for graph.

Keep once x = - 4 and y = - 2

- 2 = - ( - 4 ) + 6

Hence its also not solution.

Keep once x = 4 and y = 2

2 = - 4 + 6
2 = 2

Hence, its the solution for given graph.

Keep once x = 6 and y = 3

3 = - 6 + 6

Hence, its not solution for given graph.

Therefore answer is option (C) [ 4,2 ]

Hope it helps

Answer 2

HEYA!!
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Given Equation is ,

Y = -X + 6

Now putting the values :

A. ( -8 , -4)

-4 = 8 + 6

⭐It does not satisfy the equation .

B. (-4, -2 )

2 = 4 +6

⭐It does not satisfy the equation

C. 2 = -4 + 6

2 = 2

Hence it satisfied the equation ..


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✔Therefore , the graph represents option ( C) i,e { 4,2 }

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