Hello!
We are given an equation and a coordinate point. These are y=3x+b, and (4, 6).
From this information, we can solve for b. This is because the point shows us a possible value for both variables x and y, as a coordinate point is formatted in (x, y). From the info, we can see that x = 4, and y = 6.
Now, substitute this into the equation, and solve for b.
y = 3x + b
6 = 3(4) + b
6 = 12 + b
b = -6
Therefore, your final answer is the constant b is -6.
Hope this helps!