The missing value is -3.
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.