Answer
$y=\frac{1}{4}x-1$
Work Step by Step
$y=mx+b$
The slope is $\frac{1}{4}$, therefore the coefficient of $x$ will be $\frac{1}{4}$. ($m=\frac{1}{4}$)
$(1,-\frac{3}{4})$ is a point of the line (if $x=1$ then $y=-\frac{3}{4}$)
$-\frac{3}{4}=\frac{1}{4}*1+b$
Therefore $ b=-1$
So the equation is $y=\frac{1}{4}x-1$