2. Slope – the ratio of the vertical change (rise) to the horizontal change
(run) between any two points.
rise change in y
slope
run change in x
• y2 y1
(x2, y2)
m
x2 x1
•
(x1, y1)
3. EX Find the slope of the line.
(x1, y1) (x2, y2)
(-3, 2) (4, 3)
(4, 3)
(-3, 2) y2 y1
m
x2 x1
3 2
m
4 ( 3)
1
m
7
4. EX Find the slope of the line that passes through (3, 5) and ( 6, -1).
(x1, y1) (x2, y2)
(3, 5) (6, -1)
y2 y1
m
x2 x1
1 5
m
6 3
6
m 2
3
5. EX Find the slope of the line that passes through (-2, 4) and ( 4, 4).
(x1, y1) (x2, y2)
(-2, 4) (4, 4)
y2 y1
m
x2 x1
4 4
m
4 ( 2)
0
m 0
6
6. EX Find the slope of the line that passes through (3, 5) and (3, 1).
(x1, y1) (x2, y2)
(3, 5) (3, 1)
y2 y1
m
x2 x1
1 5
m
3 3
4
m undefined
0
7. Positive Slope Negative Slope
Rises from left to right Falls from left to right
8. Zero Slope Undefined Slope
Horizontal Line Vertical Line
