Answer:
A. -8
Step-by-step explanation:
Given the values of the function in a table, to determine the initial value of the function, you need to determine where x = 0.
Since the function is linear, the rate of change will be constant/the same.
To find the rate of change, you need to divide the change in the y value by the change in the x value.
X Y
+2↓ -5 | 7 ↓ -6
+2↓ -3 | 1 ↓ -6
+2↓ -1 | -5 ↓ -6
1 | -11
_____________
Since y changes by -6 and x changes by +2 every time, ∆Y/∆X = -6/+2 [Reduce] = -3/+1.
Slope = -3.
This means that y will decrease by 3 units every increase of 1 unit in x.
If (-1, -5) is a point which means that -1 is x when -5 is y.
We can apply the rate of change to see where x = 0.
So -5 + 1(-3/+1) → -5 + -3 = -8
