Objective To find the slope of a line given

1
Objective- To find the slope of a line given two
points.
Graph y 2x - 3
y
x
y
-3 -2 -1 0 1 2 3
-9 -7 -5 -3 -1 1 3
x
y 2x - 3
2
Objective- To find the slope of a line given two
points.
Slope of a line
y
vertical change
Slope (m)

horizontal change
1
rise
Slope (m)

2
run
y
Slope (m)

x
-2
x
-4
2
Slope (m)


y-intercept -3
-4
-2
1
m 2
y 2x - 3
3
Find the slope of the line below.
y
rise
Slope (m)

run
1
Slope (m)

3
x
3
1
m

3
1
4
Find the slope of the line below.
y
rise
2
Slope (m)

run
3
Slope (m)

3
2
x
3
m

2
5
Find the slope of the line below.
y
rise
Slope (m)

run
-1
Slope (m)

-1
4
x
-1
4
m

4
6
Find the slope of the line below.
y
rise
Slope (m)

run
-4
Slope (m)

2
x
-4
-2
m
2
7
Find the slope of the line below.
y
rise
Slope (m)

run
5
2
Slope (m)

5
2
x
2
m

5
8
Find the slope of the line below.
y
rise
Slope (m)

run
-4
Slope (m)

-4
1
x
-4
m
1
9
Algebraic Method to Find Slope Given Two Points
y
rise
Slope (m)

run
y
Slope (m)

1
x
(1,2)
y2- y1
Slope (m)

x2- x1
-3 - 2
Slope (m)

-2 - 1
-5
Slope (m)

-3
2
(-2,-3)
5
m
3
10
Algebraic Method to Find Slope Given Two Points
1
2
Find the slope between (-1,3) and (4,7).
y2- y1
y
Slope (m)


x2- x1
x
7 - 3
Slope (m)

4 - -1
4
Slope (m)

5
4
m
5
11
Algebraic Method to Find Slope Given Two Points
1
2
Find the slope between (6,5) and (-1,7).
y2- y1
m
x2- x1
7 - 5
m

-1 - 6
2
m

-7
-2
m
7
12
Algebraic Method to Find Slope Given Two Points
2
1
Find the slope between (-8,7) and (4,1).
y2- y1
m
x2- x1
7 - 1
m

-8 - 4
6
m

-12
-1
m
2