From the facts given, the swimming pool and the floor of the gym has the same in size. The pool has a dimension of 75 ft by 60 ft. Basically, the possible size of the gym floor is also 75 ft by 60 ft.
A proportion looks like this:

It means that the quantity a,b,c and d are in the same proportion: the ratio between a and b is the same ratio between c and d.
They are particularly useful in situation when you have an example given, and you want to extrapolate the relationship for another couple.
For example, you can think of the following problem: "Five apples cost 2 dollars. How much will 8 apples cost?"
You can build the proportion

And then solve it for x:

Answer:
b = { -4, -3 }
Step-by-step explanation:
was that the question?
Answer:
y = 1/2x -3
x=-2 ⇒ y = -4
x=-1 ⇒ y = -3.5
x=0 ⇒ y = -3
x=1 ⇒ y = -2.5
x=2 ⇒ y = -2
Step-by-step explanation:
Hi, to answer this question we have to isolate y:
x - 2y = 6
-2y =6-x
y = (6-x)/-2
y = -3+1/2x
y = 1/2x -3
Now, we have to create a table with the next values (see attachment)
x=-2 ⇒ y = 1/2x -3 = 1/2(-2)-3= -4
x=-1 ⇒ y = 1/2x -3 = 1/2(-1)-3= -3.5
x=0 ⇒ y = 1/2x -3 = 1/2(0)-3= -3
x=1 ⇒ y = 1/2x -3 = 1/2(1)-3= -2.5
x=2 ⇒ y = 1/2x -3 = 1/2(2)-3= -2
Feel free to ask for more if needed or if you did not understand something.