3.3 Properties of Slopes. Have you ever stood at the top of a ski hill and read the signs? Bunny Run Main Street Wipe Out Terminator What do these signs.

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Presentation transcript:

3.3 Properties of Slopes

Have you ever stood at the top of a ski hill and read the signs? Bunny Run Main Street Wipe Out Terminator What do these signs tell you?

They are all descriptions of how steep (dangerous) each hill is. This is all you need if all you are doing is snowboarding. What if you were an engineer and you wanted to build a roller coaster

How would you describe the steepness of these rides?

Engineers have created a mathematical measure for the steepness of a line Slope: The measure of a line’s steepness

Rise Run Slope = Rise Run

Therefore, the steeper the slope, the greater the number…

Find the slope of the horizontal line: Slope = Rise Run = 0cm 10cm = 0 0cm 10cm

lines

Parallel lines are straight and never meet, like tracks

Find the slopes of the parallel line segments: (2,0) (11,3)(1,2) (10,5) L1L1 L2L2 X Y

(2,0) (11,3)L1L1 X Y

(1,2) (10,5) L2L2 X Y

From this example, it can be stated that The slopes of parallel lines are equal!

Pg , [4,5]a,c 6a,c,e 8a, 9 10,11