# What is the slope of the line passing through  (2,5); (0,0)?

Mar 11, 2016

The gradient / slope is $2.5$

#### Explanation:

To find the gradient / slope of a line from two points, we need to find the difference in $y$ and the difference in $x$. To do this, we take the first set of coordinates away from the first (think of it as your finishing point take away your starting point to find the difference).

$\text{Difference in } x = 0 - 2 = - 2$
$\text{Difference in } y = 0 - 5 = - 5$

Then to find the gradient we divide the difference in $y$ by the difference in $x$.

$\frac{- 5}{-} 2 = 2.5$

So the gradient is $2.5$.

Hope this helps; let me know if I can do anything else:)