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 over 2 x + 11
y = negative 1 over 2x + 11
y = 2x + 10
y = 2x + 11

Answer 1

You need to calculate it's slope.
(x₁,y₁) = (2,10) and (x₂,y₂) = (4,9)
Now,(y₂-y₁) = m(x₂-x₁)
(9-10) = m(4-2)
2m = -1
m = -1/2

Now, take any one point for calculation of b in equation;
10 = -1/2(2) + b
b = 10 + 1
b = 11

So, Equation of the line would be: y = -1/2x + 11

In short, Your Answer would be Option B

Hope this helps!