Further Explorations with Slope - Further Explorations with...

Further Explorations with Slope – ALG ONE
Steepness of line Slope is a way to quantify the steepness of a line. We all have a sense of when something is
steep and when it is not. Also we can compare steepness visually. But we can confirm steepness with numerical
data using slope.
Answer the following questions using the graph below. Disregard the direction of the line, focus just on
the steepness.
1) Which line is so steep you cannot describe it?
2) Which line appears to be the steepest (besides the one you named above)
3) Which line appears to be least steep?
Now calculate the actual slope of each line by looking at the rise/run ratio of each. Pay attention to the
sign of your slope too! (calculate these from end to end, turn into a decimal for easier comparing)
A:
B:
C:
D:
E:
Is there some general statement you can make about slope and the steepness of a line?
4) Use the slope formula to find the slope of the line passing through the given points.
Show your work.