# What is the slope of a line that with the points (2,4) and (4,-2)?

Remember that the slope $m$ represents the rate of change of $y$ when $x$ changes or:
$m = \frac{\Delta y}{\Delta x} = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{- 2 - 4}{4 - 2} = - \frac{6}{2} = - 3$