Question

Drag the dot to the correct location on the graph. Consider the following functions.

Answer 1

(x,y)=( -3 -2)
Hope this helped!

Answer 2

We are given the following functions:

`\begin{gathered} f(x)=(1)/(3)x-1 \\ g(x)=2x+4 \end{gathered}`

Two find the point of interception of the two functions we must first equate both functions, like this:

`f(x)=g(x)`

replacing the values:

`(1)/(3)x-1=2x+4`

Now we solve for "x" first by subtracting "2x" on both sides.

`(1)/(3)x-2x-1=2x-2x+4`

Solving the operations:

`-(5)/(3)x-1=4`

Now we add "1" on both sides:

`-(5)/(3)x-1+1=4+1`

Solving the operations:

`-(5)/(3)x=5`

Now we multiply both sides by 3

`-5x=15`

Now we divide both sides by -5

`x=(15)/(-5)=-3`

Now we replace the value of "x" in any of the two functions. Replacing in g(x), we get:

`g(-3)=2(-3)+4`

Solving the operations:

`g(-3)=-6+4=-2`

Therefore, the function intercept at the point (x,y)=(-3,-2)