Point-Slope Formula Worksheets With Answer Key - Section 3.5 - 3.6 Page 4
ADVERTISEMENT
1
2
3
4
5
6
7
8242
Chapter 3 Graphing Linear Equations in Two Variables
A sketch of the perpendicular lines
y
3x
2
y
1
5
y
x
2 and y
3x
2
is shown in
3
4
1
Figure 3-33. Notice that the line
y
x
2
1
2
y
x
1 3, 12.
3
3
3
passes through the point
2
( 3, 1)
1
x
Skill Practice
5
4
3
2
1
1 2 3
4 5
1
2
4. Write an equation of the line passing
3
through the point (10, 4) and
4
perpendicular to the line
x
2y
1
.
5
Figure 3-33
4. Different Forms of Linear Equations:
A Summary
A linear equation can be written in several different forms, as summarized in
Table 3-3.
Table 3-3
Form
Example
Comments
Standard Form
Ax
By
C
4x
2y
8
A and B must not both be zero.
Horizontal Line
y
k
y
4
The slope is zero, and the y-intercept is
(k is constant)
(0, k).
Vertical Line
x
k
x
1
The slope is undefined, and the x-intercept
(k is constant)
is (k, 0).
Slope-Intercept Form
Solving a linear equation for y results in
y
mx
b
y
3x
7
slope-intercept form. The coefficient of
the slope is m
Slope
3
the x-term is the slope, and the constant
y-intercept is 10, 72
y-intercept is (0, b)
defines the location of the y-intercept.
Point-Slope Formula
2
y
y
m1x
x
m
3
This formula is typically used to build an
1x
2
14, 22
1
1
, y
equation of a line when a point on the
1
1
y
2
31x
42
line is known and the slope of the line
is known.
Although standard form and slope-intercept form can be used to express an equa-
tion of a line, often the slope-intercept form is used to give a unique representation
of the line. For example, the following linear equations are all written in standard
form, yet they each define the same line.
2x
5y
10
4x
10y
20
6x
15y
30
2
x
y
2
5
2
The line can be written uniquely in slope-intercept form as:
y
x
2.
5
Although it is important to understand and apply slope-intercept form and the
Answer
point-slope formula, they are not necessarily applicable to all problems, particu-
4.
y
2x
16
larly when dealing with a horizontal or vertical line.
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education