1.
I love to hit the
slopes
4.4 Find Slopes

2.
Slope is the steepness of a line.
slope = vertical change
horizontal change
This is a rate of change

3.
Which mountain is steeper?
Check the vertical
change and
horizontal change.
5000
200
200
200
5000
200
25
200
200
1

4.
Slope of a straight line
= ∆y
∆x
Slope = change in the y
change in the x
= rise
run
Greek letter delta ∆
Means the change in…

5.
Slope Between 2 points
(x1, y1) , (x2, y2)
m =
1
2
1
2
x
x
y
y



6.
Slope
y
x
m =

7.
Find the slope between
points (-1, -1) and (2, 3)
( x1, y1) (x2, y2)
The slope is 4/3
y2 - y1 3 - - 1
x2 - x1 2 - - 1
Up 4, right 3

8.
Find the slope between
(-3, 4) and (2, -2).
5
6
5
6
)
3
(
2
4
2
1
2
1
2












X
X
Y
Y
m
Slope
5
6

Down 6, Right 5

9.
Find the slope from
(-1, 3) to (4, 3).
0
5
0
)
1
(
4
3
3
1
2
1
2









X
X
Y
Y
m
The slope is 0
A Horizontal line
has zero slope.

10.
Find the slope of the line containing
the points (2, -2) and (2, 4).
0
6
2
2
)
2
(
4
1
2
1
2








X
X
Y
Y
m
For a vertical line
slope is undefined.
You cannot
divide 6/0.

11.
Using zero in division
0
5
0
5 0
5
0
?
0 5

12.
+ slope - slope

13.
0 slope Undefined
slope

14.
Find the slope by counting.
+2
+3
or
+3
+2

15.
Let your path be one
of harmony and tranquility.