1
Section 2.4 – Equations of a Line
Forms of Equations:
1. The
standard form
of a linear equation is given by
C
By
Ax
=
+
where
A
and
B
cannot both
be equal to zero.
Example:
5
4
2
=
+
y
x
2. The
pointslope form
of a linear equation is given by
)
(
1
1
x
x
m
y
y

=

where m is the
slope and the line passes through the point (
x
1
,
y
1
).
Example:
)
5
(
2
1

=

x
y
3. The
slopeintercept form
of a linear equation is given by
b
mx
y
+
=
where
m
is the slope
and
b
is the
y
intercept.
Example:
1
2
+
=
x
y
1. Find an equation for the line with a slope of
2 and a
y
intercept
6.
2. Find an equation for the line with a slope of 4 and a
y
intercept 5.
3. Find an equation for the line with a slope of 6 and passing through the point
(0, 5).
4. Find an equation for the line that passes through the point (2, 6) and has a slope
2
1
.
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5.
Find an equation in pointslope form for the line that passes through the points (5, 2) and
(3, 2).
6.
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 Spring '08
 Staff
 Equations, Slope, Elementary algebra

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