Hi Emily,

The slope of a line is a fraction, the "rise" over the "run." Percentage also comes from a fraction, it is the numerator when the denominator is 100. Thus for example if the rise is 40 feet and the run is 500 feet then the slope is

\[\frac{40}{500} = \frac{4}{50} = \frac{8}{100} = 8\%.\]

If it's not straightforward to find an equivalent fraction with 100 as the denominator you can divide the denominator into the numerator and then multiply by 100. Thus for example if the rise is 9 feet and the run is 47 feet then the slope is

\[\frac{9}{47} = 0.1915 = \frac{19.15}{100} = 19.15\%.\]

Penny