ANSWER
[tex]A. \: \: y = 5x + \frac{3}{4} [/tex]
EXPLANATION
The slope-intercept form of an equation is given by;
[tex]y = mx + c[/tex]
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,
[tex] m = 5[/tex]
The y-intercept is
[tex](0, \frac{3}{4})[/tex]
This means that,
[tex]c = \frac{3}{4} [/tex]
We plug in the values to obtain,
[tex]y = 5x + \frac{3}{4} [/tex]
The correct choice is A.
