How do you find the slope given (2, -1) and (-3, 4)?

Apr 4, 2016

$\frac{\delta y}{\delta x} = - 1$

Explanation:

Slope is $\text{rise"/"run}$, or the change in $y$ divided by the change in $x$. Mathematically this is shown as

$\frac{\delta y}{\delta x}$

To find the change in a value, take the second one and subtract the first, or

$\delta n = {n}_{2} - {n}_{1}$

Therefore,

$\delta y = 4 - \left(- 1\right) = 5$
$\delta x = - 3 - 2 = - 5$

Which means

$\frac{\delta y}{\delta x} = \frac{5}{-} 5 = - 1$

which is the slope of the line.