The table below contains values for a linear relationship. One value from the table is missing.

x - 3 - 1 0 2 4 7

y 7 3 1 ___ - 7 - 13

What is the missing value?

The missing value is

.

What is the equation relating the values in the table?

The equation that related the values in the table is y =

The missing value is - 3.

Step-by-step explanation:

Step 1; First, we need to determine the equation relating the x to the y values in the table. y is the dependent value whereas x is the independent value i. e. the value of y depends on the value of x.

Step 2; If we multiply the value of x with - 2 and add the resulting answer with 1 we get the value of y.

y = - 2x + 1 is the equation that relates the values in the table.

Step 3; Now we substitute the values in the equation

For x = 3, y = - 2 (3) + 1 = - 6 + 1 = - 5,

For x = - 1, y = - 2 (-1) + 1 = 2 + 1 = 3,

For x = 0, y = - 2 (0) + 1 = 0 + 1 = 1,

For x = 2, y = - 2 (2) + 1 = - 4 + 1 = - 3,

For x = 4, y = - 2 (4) + 1 = - 8 + 1 = - 7,

For x = 7, y = - 2 (7) + 1 = - 14 + 1 = - 13.

So the value of y when x = 2 is - 3.