$y=f(x)$ and $y=g(x)$ so that functions $f$ and $g$ form a system. The graphs of the $f$ and $g$ are shown below. a. Plot the point where the graphs of $f$ and $g$ intersect. Clear All Draw: Dot b. This means that $x=$ is the value such that $f(x)=g(x)$. Preview

Step 1 ：Let's consider two functions $f(x)$ and $g(x)$, where $f(x) = x^2$ and $g(x) = x + 2$.

Step 2 ：The point of intersection of these two functions is the solution to the equation $f(x) = g(x)$.

Step 3 ：Solving the equation $x^2 = x + 2$, we get the solutions $x = -1$ and $x = 2$.

Step 4 ：These are the x-coordinates of the points where the graphs of $f$ and $g$ intersect.

Step 5 ：To find the corresponding y-coordinates, we substitute these solutions into either of the functions.

Step 6 ：For $x = -1$, substituting in $f(x)$, we get $y = 1$.

Step 7 ：For $x = 2$, substituting in $f(x)$, we get $y = 4$.

Step 8 ：Thus, the points of intersection are $(-1, 1)$ and $(2, 4)$.

Step 9 ：Final Answer: The points of intersection are \(\boxed{(-1, 1)}\) and \(\boxed{(2, 4)}\).