1. Calculating
SLOPES

2. What slope means Slope tells you how ‘slanted’ a line is
Roofers call it ‘pitch’
Highway engineers call it ‘grade’
Mathematicians call it ‘slope’

3. THE BUNNY SLOPE
A line with a
small slope
only slants a little.

4. Double Black Diamond Expert Slope
A line with a
large slope
slants a lot.

5. A line with a slope of zero is flat
Cross-country skiing
A line with a slope of zero is flat

6. OMIGOSH - A CLIFF! If a line has a slope that is undefined
it isn’t a ski slope
IT’S A CLIFF!
Vertical lines have
undefined slopes.

7. Signs of slopes Uphill from left to right: sign +
Downhill from left to right: sign –
Flat: (horizontal) slope = 0
Cliff: (vertical) slope is undefined.

8. Calculating slopes Slope is:
Find the slope between (x1, y1) and (x2, y2):
NOTE: If you start with y1 on the top,
you must start with x1 on the bottom
since they are from the same ( )

9. Calculating slopes Find the slope between (4, 3) and (-1, 2):
If you start with y1 = 3 on the top,
you must start with x1 = 4 on the bottom
since they are from the same ( )
If you start with y2 = 2 on the top,
you must start with x2 = -1 on the bottom
since they are from the same ( )

10. Calculating harder slopes
next . . .

11. Calculating harder slopes
next . . .

12. Calculating harder slopes
next . . .

13. Calculating harder slopes

14. Calculating slopes is easy Just remember to subtract in the correct order!