SLOPE How steep is the hill?

TABLE OF CONTENTS Uphill - Steep Uphill – Not Steep Downhill - Steep Downhill – Not steepCredits

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