Graph the equation by identifying the slope and $y$-intercept, and using their definitions to find two points on the line.
\[
y=2 x+6
\]

Step 1 ：The given equation is \(y = 2x + 6\).

Step 2 ：This equation is in the form of \(y = mx + c\), where \(m\) is the slope and \(c\) is the y-intercept.

Step 3 ：Here, the slope \(m\) is 2 and the y-intercept \(c\) is 6.

Step 4 ：We can find two points on the line by substituting \(x\) with any two values and solving for \(y\).

Step 5 ：Let's choose \(x = 0\) and \(x = 1\) for simplicity.

Step 6 ：When \(x = 0\), \(y = 2(0) + 6 = 6\). So, the first point is \((0, 6)\).

Step 7 ：When \(x = 1\), \(y = 2(1) + 6 = 8\). So, the second point is \((1, 8)\).

Step 8 ：Final Answer: The two points on the line \(y = 2x + 6\) are \(\boxed{(0, 6)}\) and \(\boxed{(1, 8)}\).