how do I interpret the slope in terms rise over run

Given:
Slope of the line = 1
Let's interpret the slope in terms of rise and run.
Apply the slope formula:
[tex]slope=\frac{rise}{run}[/tex]The slope of a line can be said to be the rise divided by the run.
Here, since the slope of the line is 1, we have:
[tex]slope=\frac{rise}{run}=\frac{change\text{ in y}}{change\text{ in x}}=\frac{1}{1}[/tex]This means that the graph rises 1 unit for each 1 unit of run.
ANSWER:
The graph rises 1 unit for each 1 unit of run.