What is the function rule for the line?

f(x)=23x−2

f(x)=32x+2

f(x)=32x−2

f(x)=−23x−2

Find the slope of the line by using two points on the line.

Using (0,-2) and (3,0)

The slope is the change in Y over the change in x:

Slope = (0 - -2) / (3-0) = 2/3

The y intercept is where the line crosses Y at  = 0, from the picture when X is 0 the line crosses at -2.

The equation becomes 2/3x -2

The answer is: f(x)=2/3x−2

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step-by-step explanation:

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: