Final answer:
The value of b in the equation 2x + by = 15, when the y-intercept is 5, is 3.
Step-by-step explanation:
The y-intercept of the graph represented by the equation 2x + by = 15 is given as 5.
We can substitute the value of y-intercept (b = 5) into the equation to solve for the value of b.
2x + 5y = 15
Now, we can rearrange the equation to isolate b:
5y = 15 - 2x
Dividing both sides by 5:
y = (15 - 2x) / 5
Comparing this equation with the standard slope-intercept form (y = mx + b), we can see that the coefficient of y is b. Therefore, the value of b is 3.