ANSWER
![A. \: \: y = 5x + (3)/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/imswnfke1rlqck14xus1gormzbjvn19uht.png)
Step-by-step explanation
The slope-intercept form of an equation is given by;
![y = mx + c](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6hm7bppno7kne18ecyfnb0sast71uj9zsx.png)
wherever m is the slope and c is y-value of the y-intercept.
It was given that the slope is 5.
This implies that,
![m = 5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8nowaq305k10kz5h26yft948rf1lea02ap.png)
The y-intercept is
![(0, (3)/(4))](https://img.qammunity.org/2020/formulas/mathematics/high-school/tv8d9aivl03e5ugo2tfws7qfh4oeezz6xv.png)
This means that,
![c = (3)/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/mna0e012wlcgxizphz93zwqm6trjw6830l.png)
We plug in the values to obtain,
![y = 5x + (3)/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/fcrb9s8lqkrw9jdjvod36opkdltd70rjn8.png)
The correct choice is A.