Question

use the table below to answer the following questions:
x -2 -1 0 1 6 b
y 10 6 2 -2 a -78
1.2.1 find the rule in the form of y=...
1.2.2 determine the values of a and b

Answer 1

1.2.1 To find the rule in the form of y=..., we can analyze the relationship between the x and y values. Looking at the table, we can observe the following pattern:

When x increases by 1, y decreases by 4.

We can express this pattern as a linear relationship:

y = -4x + c

To determine the value of c, we can substitute one pair of x and y values into the equation. Let's use the first pair: x = -2 and y = 10.

10 = -4(-2) + c
10 = 8 + c
c = 2

Therefore, the rule in the form of y = -4x + 2.

1.2.2 To determine the values of a and b, we can refer to the table:

-2 corresponds to x and 10 corresponds to y.
-1 corresponds to x and 6 corresponds to y.
0 corresponds to x and 2 corresponds to y.
1 corresponds to x and -2 corresponds to y.
6 corresponds to x and a corresponds to y.
b corresponds to x and -78 corresponds to y.

From the table, we can see that the values of a and b are not given explicitly. Therefore, we cannot determine their values.