We are given the following equation:
![7x-y=-3](https://img.qammunity.org/2023/formulas/mathematics/college/i81rx88u0xydnf6qwmz29dfkd7hkkoasj9.png)
To determine the y-intercept we need to have into account that the standard form of a line equation is the following:
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
Where:
![\begin{gathered} m=\text{ slope} \\ b=\text{ y-intercept. } \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/y54ip0jpbkg6o8i18etwzyd8xct0bqz1is.png)
To convert the given equation into the standard form we will first subtract 7x from both sides:
![-y=-7x-3](https://img.qammunity.org/2023/formulas/mathematics/college/rqky67lnq6jfeft90bd0gbnsl2lk9yyxih.png)
Now we multiply both sides by -1:
![y=7x+3](https://img.qammunity.org/2023/formulas/mathematics/college/e5k9zton2r7hzbme6gk4gp4q7e4wqhf92s.png)
Therefore, the y-intercept is 3.