Which of the following represents a linear function with the same slope as the table below? *Select 2 that apply!
x f(x)
-4 14
-2 8
3 -7
5 -13
6x - 2y = 12
James increases his muscle mass by 3 kg per day.
Cynthia has $200 in her savings account and spends $3 per day on coffee.
The linear function with the same slope as the table below is the first option -6x + 2y = -12.
Explanation:
The slope of a linear function is represented by the coefficient of x or y. In this case, the coefficient of x is 6 and the coefficient of y is -2. Therefore, the slope is 6/(-2) = -3.
The linear function 6x - 2y = 12 has the same slope as the given table.
The second option, James increasing his muscle mass by 3 kg per day, is not a linear function but describes a constant rate of change.
The third option, Cynthia spending $3 per day on coffee, is also not a linear function but describes a constant rate of change in her spending.