7. What is the slope of the line through the points (2/3, 4/7) and (2/3 , 11/7)

undefined

Step-by-step explanation:

slope = change in y / change in x

Let's take change as (second point) - (first point). We could do (first point) - (second point), but we have to choose one

slope = (y₂-y₁)/(x₂-x₁)

          = (7/7)/(0)

           = 1/0

Anything divided by 0 is undefined, so the line has no slope/is undefined

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:

answer: b

step-by-step explanation: im sorry bro bro but thats not a eqation the human mind can answer and plus im a devil