Answer
$4x - 4y = 3$
Work Step by Step
$(y - y_{1})\div(y_{2} - y_{1}) = (x - x_{1})\div(x_{2} - x_{1})$
Substitute all of the variables in, getting
$ (y + \frac{1}{4}) \div (\frac{3}{4} + \frac{1}{4}) = (x -\frac{1}{2}) \div (\frac{3}{2} - \frac{1}{2})$
$ y + \frac{1}{4} = x - \frac{1}{2}$
Subtract $y$ from both sides
$\frac{1}{4} = x - y - \frac{1}{2}$
Add $\frac{1}{2}$ to both sides
$\frac{3}{4} = x - y $
$ 4x -4y = 3$
