Answer
x-intercept: $(\frac{1}{3},0)$
y-intercept: $(0,-\frac{1}{4})$
Work Step by Step
$y=\frac{3}{4}x-\frac{1}{4}$
Make $y=0$ to find the x-intercept:
$0=\frac{3}{4}x-\frac{1}{4}$
$-\frac{3}{4}x=-\frac{1}{4}$
$x=\frac{-\frac{1}{4}}{-\frac{3}{4}}=\frac{1}{4}\frac{4}{3}=\frac{1}{3}$
We have the point: $(\frac{1}{3},0)$
Make $x=0$ to find the y-intercept:
$y=\frac{3}{4}(0)-\frac{1}{4}=0-\frac{1}{4}=-\frac{1}{4}$
We have the point: $(0,-\frac{1}{4})$