The y-intercept of the given function
can be found by setting x to 0 and solving for y.
To find the y-intercept, we set x to 0 and solve for y:
![\[3y = -5(0) + 7\]](https://img.qammunity.org/2022/formulas/mathematics/college/lbpbaxlerocfgcitfs1127gzt90zgxi50i.png)
Simplifying the right side of the equation:
![\[3y = 7\]](https://img.qammunity.org/2022/formulas/mathematics/college/467t999jh6n9lv7ty5roddtkldzzb92hpp.png)
Now, isolate y by dividing both sides of the equation by 3:
![\[y = (7)/(3)\]](https://img.qammunity.org/2022/formulas/mathematics/college/3sl2amqm7g6cniaco6af7yzmha2jgorb5e.png)
So, the y-intercept occurs at the point (0, 7/3). This means that when x is 0, y is (7/3).