Question

Two quantities are related, as shown in the table:

x y
2 10
4 9
6 8
8 7

Which equation best represents the relationship?
y = 1/2 x + 11
y = -1/2x + 11
y = 2x + 10
y = 2x + 11

Answer 1

1. y = (-1/2)x + 11 one ansawer

Answer 2

Therefore $y=-\frac{1}{2} x+11$ equation is best to represents the relationship.

Step-by-step explanation:

Given;

For $x=2$ then $y=10$

For $x=4$ then $y=9$

For $x=6$ then $y=8$

For $x=8$ then $y=7$

Plug any one value of $x$ in the given following equation and check which equation gives the same values of $y$

Equation-1;

$y=\frac{1}{2} x+11$

Plug $x=2$,

$y=(\frac{1}{2} \times 2)+11=12$

Which is not equal with $y$ values

In Equation-2;

$y=-\frac{1}{2} x+11$

Plug $x=2$,

$y=(-\frac{1}{2}\times2)+11=10$

Which is equal with $y$ values.

So $y=-\frac{1}{2} x+11$ equation is best to represents the relationship.