What is the slope of the line through points (0,0) and (5,10)?
The slope of a line is defined as
In maths we usually write this as
If you regard
These values indicate the changes have that have happened without us having to do any work.
From 0 to 10 is a change of 10
From 0 to 5 is a change of 5
We can also use the formula
A slope of 2, or "2 in 1" means that every horizontal unit (to the right) has 2 vertical units (upwards) associated with it.