What is the equation of the linear function represented by the table? x y –5 14 –2 11 1 8 4 5 y = negative x + 9 y = negative x + 13 y = x + 13 y = x + 9

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Answer:

Answer:

1. y= -x+9

Step-by-step explanation:

plug the coordinates inside each of the equation

14 = -(-5)+9 --> 14 = 14

11 = -(-2)+9 --> 11=11

8 = -(1)+9 --> 8=8

5 = -(4)+9 --> 5=5

Step-by-step explanation:

The equation that satisfies all the points is y= -x+9 and the correct option is A.

What is an Equation?

An equation is a statement that is formed when two algebraic expressions are equated using an equal sign.

The table of x-y represents a line

x      y

5   14

-2   11

1      8

4     5

The equation that satisfies these values has to be determined.

Substituting (5,14)

The first equation is

y = -x+9

Substituting the values in the equation

14 = 5 +9

14=14

Substituting (-2,11)

11 = 2+9

11 = 11

Substituting (1,8) ; (4,5)

8 = -1+9

8 = 8

4 = -5+9

4=4

Therefore, The equation that satisfies all the points is y= -x+9, and the correct option is A.

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