Final answer:
After calculating the y-values by substituting x = -3 into the functions y = -173.5 + 4.83X and y = -3204 + 1.662x, neither function passes through the point (-3, -19) as they do not yield the y-value -19.
Step-by-step explanation:
To determine which function passes through the point (-3, -19), we need to substitute the x-value of the point into the function and see if the corresponding y-value is -19. We have several line equations to consider based on the information provided.
Let's start by evaluating the function y = -173.5 + 4.83X at X=-3:
- y = -173.5 + 4.83(-3)
- y = -173.5 - 14.49
- y = -187.99
This function does not yield the y-value -19; hence it does not pass through the point (-3, -19).
Next, let's evaluate the function y = -3204 + 1.662x at x=-3:
- y = -3204 + 1.662(-3)
- y = -3204 - 4.986
- y = -3208.986
This function also does not yield the y-value -19 and does not pass through the point (-3, -19).