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Scatter plot = set of points that represent data in a visual form
Regressions Line = line that best fits the data points
The
slope
of the line through the distinct points (x
1
, y
1
) and (x
2
, y
2
) is
1
2
1
2
x
x
y
y
run
rise
x
in
change
y
in
change


=
=
, where x
2
–
x
1
0.

Positive slope = graph is rising from left to right.

Negative slope = graph is falling from left to right

Horizontal Line:
slope is zero

Vertical Line
:
slope is undefined
EX 1:
Find the slope of the line passing through each pair of points:
a.) (3, 4) and (4, 2)
b.) (4, 2) and (1, 5)
PointSlope form of the equation of a line
can use the slope of the line and any point on the line to help us write the equation of that line.
)
(
1
1
x
x
m
y
y

=

,
where (x
1
, y
1
) is any point on the line and m = slope of the line
EX 2:
Write the pointslope form of the equation of the line passing through (2, 5) with slope of 6.
Then solve
the equation for y.
EX 3:
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This note was uploaded on 11/23/2010 for the course MATH 115 taught by Professor Mcbride,v during the Fall '08 term at University of South Dakota.
 Fall '08
 Mcbride,V
 Slope

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