The graph of the equation y=3x+b contains the point (4,6). what is the constant b?

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!