The general equation for a linear equation is:
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
the y-intercept is b and m represents the slope.
the slope can be understood as the change in y over a specified interval in x
![m=(\Delta y)/(\Delta x)](https://img.qammunity.org/2023/formulas/mathematics/college/clmj1j5zpdz9l8fpazkhu89dl52lywae6u.png)
then, form the equation:
![y=(2)/(3)x+2](https://img.qammunity.org/2023/formulas/mathematics/high-school/oaq7v1ygmw29fck114y7o5twhndvzq30yu.png)
we know that it needs to pass through the point (0,2) as the y-intercept and the slope is a positive, meaning that the line needs to be increasing as x gets bigger.
Answer:
The correct graph is the second option