Rearrange the equation so b is the independent variable 4a+b=−52

The independent variable is the variable you change.

The dependent variable is the variable you measure that depends on the independent variable.

Since b is the independent variable, you need to isolate/get the variable "a" by itself in the equation:  [this is because "b" is the variable you change, and "a" is the variable you measure that results/depends on "b"]

4a + b = -52       Subtract b on both sides

4a + b - b = -52 - b

4a = -52 - b        Divide 4 on both sides to get "a" by itself

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

they charge the same amount at 20 minutes.

step-by-step explanation: