Find the equation of the line using the given information. the slope equals zero and it passes through the point (x, y) = (1, −9).

When the slope is zero, the line is horizontal. Its equation will be of the form

... y = constant

The y-value of your point is specified as -9, so the equation of the line through that point is

... y = -9

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: