Name:
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• The slope of a line is the ratio of the difference in y-values to the difference in x-values
between any two different points on the line.
Slope Formula
If (xpyJand
(x2'Y2)are
any two different points on a line, the slope (m) of the line is
m = Y2 - YI
X2 -Xl
Ex 1: If (2, -3) and (1, 4) are two points on a line, what is the slope of the line?
Ex 2: Find the slope of the line that contains (4, 1) and (-1, 2).
Ex 3: Find the slope of the line that contains (-2, -2) and (7, -2).
Ex 4: Find the slope of the line that contains (5, -7) and (6, -4) .
• Sometimes you are not given two points so you must choose two points from a graph or table.
Ex 5: Find the slope of the graph.
/'"
~r
'/
1/'"
/
r
Slope =
_
1
Ex 6: Find the slope ~f the linear equation found in the table.
Slope =
x
2
2
2
2
Y
0
1
3
5
_
,\.
Ex 7: Find the slope of the graph.
,
\
~
,
\
Slope =
~
_
\,
Ex 8: Find the slope of the linear function found in the table.
Slope =
x
0
2
5
6
Y
1
5
11
13
_
Application Problem
The graph shows how much water is in a reservoir at different times. Find the slope of the line.
Then tell what the slope represents.
wate" ~ Reservoir
---.
<n
C 3000
-g
Slope
=
i
2000
_
s:
~
~
~
What does this represent?
2500
_
1500
1000
500
o
to 20 30 40 so 00
Time (h)
2
Finding Slope from an Equation
Ex 9: Find the slope of the line described by 6x - 5Y = 30 .
Ex 10: Find the slope of the line described by 2x + 3y
= 12.
3