The independent variable is the variable you change.
The dependent variable is the variable you measure that depends on the independent variable.
Since b is the independent variable, you need to isolate/get the variable "a" by itself in the equation: [this is because "b" is the variable you change, and "a" is the variable you measure that results/depends on "b"]
4a + b = -52 Subtract b on both sides
4a + b - b = -52 - b
4a = -52 - b Divide 4 on both sides to get "a" by itself
![(4a)/(4) =(-52-b)/(4)](https://img.qammunity.org/2021/formulas/mathematics/college/pc6ykg3tpwpsch43jwf6tqpdr8fhu414op.png)
![a=-13-(b)/(4)](https://img.qammunity.org/2021/formulas/mathematics/college/jv60nsg7f03d9lubhyren8n9904kj4jucp.png)