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

1 Answer
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).

#"Difference in "x = 0 - 2 = -2#
#"Difference in " y = 0-5 = -5#

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

#(-5) / -2 = 2.5#

So the gradient is #2.5#.

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