What is the x-intercept of the line with this equation 1/3x+y=−15 ?

(- 45, 0 )

Step-by-step explanation:

To find the x- intercept let y = 0 in the equation and solve for x

x + 0 = - 15, that is

x = - 15

Multiply both sides by 3 to clear the fraction

x = 3 × - 15 = - 45 ← x- intercept ⇒ (- 45, 0 )

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: