SLOPE
How steep is the hill?
TABLE OF CONTENTS
Uphill - Steep
Uphill – Not Steep
Downhill - Steep
Downhill – Not steep
Credits
UPHILL - STEEP
An uphill line (from left to right) is always a
positive slope. In this instance, the line passes
through the points (0, 0), (1, 3) and (2, 6). What
is the slope?
3
One more thing about slope… if the angle
between the x-axis and the line is higher than
45 degrees, the slope will be greater than 1.
The line that forms a 45 degree angle has a
slope that is exactly 1.
UPHILL – NOT SO STEEP
An uphill line (from left to right) is always a positive
slope. In this instance, the line passes through the
points (-5, -1), (0, 0) and (5, 1). What is the slope?
1/5
Notice if the angle between the x-axis and the line is
less than 45 degrees, the slope will be between 0 and 1.
DOWNHILL - STEEP
An downhill line (from left to right) is always a negative
slope. In this instance, the line passes through the
points (-2, 4), (-1, 2) and (0, 0). What is the slope?
-2
Notice that the angle between the x-axis and the line is
higher than 45 degrees, so the slope will be less than -1.
The line that forms a 45 degree angle going downhill
has a slope that is exactly -1.
DOWNHILL – NOT SO STEEP
An downhill line (from left to right) is always a negative
slope. In this instance, the line passes through the
points (-3, 2), (0, 0) and (3, -2). What is the slope?
-2/3
Notice that the angle between the x-axis and the line is
less than 45 degrees, so the slope will be between 0
and -1.
CREDITS
• Powerpoint created by Ryan Henry
• “What a Wonderful World” written by Bob Thiele
and George David Weiss, performed by Ryan Henry
• Pictures obtained from
– bitewallpapers.com
– skimybest.com
– mycoloradolife.com