Final answer:
The difference between the initial values of Equation A and Equation B is 5, which is calculated by subtracting the y-intercept of Equation B from that of Equation A.
Step-by-step explanation:
The difference between the initial values in Equation A: y=23x+15 and Equation B: y=13x+10 refers to the difference between the y-intercepts of the two linear equations. The initial value, also known as the y-intercept, is the value of y when x equals zero. It is represented by the b term in the equation of a line in slope-intercept form, which is y = mx + b.
For Equation A, the initial value is 15, and for Equation B, it is 10. To find the difference between these initial values, we subtract the smaller initial value from the larger one:
Difference = Initial value of Equation A - Initial value of Equation B
Difference = 15 - 10 = 5