# How do you determine the slope of (1/3, 3/4) and (–2, 6)?

The slope of the line joining two points, representing the rate of change of the $y$ value with $x$, can be calculated as:
$s l o p e = \frac{\Delta y}{\Delta x}$
$s l o p e = \frac{6 - \frac{3}{4}}{- 2 - \frac{1}{3}} = \frac{\frac{24 - 3}{4}}{\frac{- 6 - 1}{3}} =$
$= \frac{21}{4} \cdot \frac{3}{-} 7 = = - \frac{9}{4}$