Aline has the same slope as the line 3x+9y=5 and passes though the point (-1,2).what is the equation of the line?

y = -1/3x + 5/3

Step-by-step explanation:

First solve the equation. Simply put it is y = -1/3x + 5/9.

So, we have our slope which is -1/3. Now just plug it in.

y - y1 = m(x - x1)

y - 2 = -1/3(x - (-1))

Distribute.

y - 2 = -1/3x - 1/3

Add 2 to both sides

you get y=-1/3x + 5/3

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: