Answer:
b = 0
Step-by-step explanation:
Since,the equations y=3/4x+1 and y=1/2x+b intersect at (4,2)
So, plug x = 4 and y = 2 in equation y=1/2x+b, we find:
[tex]2 = \frac{1}{2} \times 4 + b \\ \\ 2 = 2 + b \\ \\ 2 - 2 = b \\ \\ \purple{ \bold{ b = 0}}[/tex]