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 The

slope of a line is a ratio of the
change in y (rise) to the change in x
(run) between any two points.
 Also

called “rate of change”

 Describes

steepness/slant of a line.

◦ Bigger slope means steeper line!
 Choose

any two points:
 Count the change in y (rise)
 Count the change in x (run)
 Divide and reduce.
 Find

the slope of the line.
 Find

the slope of the line.
 Find

the slope of the line.
 Find

the slope of the line.
 Find

the slope of the line.
 Remember:

 When

given two points (x, y) and (x, y)
 To find:
◦ Change in y: subtract y values
◦ Change in x: subtract x values
(in the same order you did the y’s!!)
 Find

the slope of the line through the
given points:
 (-3, -1) and (3, 4)

 (-1,

1) and (1, -2)
 Find

the slope of the line through the
given points:
 (-4, -1) and (2, 1)
 (1,

-2) and (7, -2)

 (-3,

-3) and (-3, -5)
 (-1,

 (4,

5) and (6, 5)

6) and (4, 2)
 Remember:

Example:
The points in the table lie on a line.
Find the slope.
x
y

1
8

4
6

7
4

10
2
The points in the table lie on a line.
Find the slope.
x
y

1
2

3
5

5
8

7
11
The points in the table lie on a line.
Find the slope.
x
y

-3
6

-2
4

-1
2

0
0

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2 2 slope of a line