2.4 Write Equations Of Lines Examples And Worksheet - Chapter 2, Linear Equations And Functions Page 5
ADVERTISEMENT
1
2
3
4
5
6
7
8
9Describe and correct the error in writing an equation of
ERROR ANALYSIS
the line that passes through the given point and has the given slope.
18.
(24, 2), m 5 3
19.
(5, 1), m 5 22
y 2 y
5 m(x 2 x
y 2 y
5 m(x 2 x
)
)
1
1
1
1
y 2 2 5 3(x 2 4)
y 2 5 5 22(x 2 1)
y 2 2 5 3x 2 12
y 2 5 5 22x 1 2
y 5 3x 2 10
y 5 22x 1 7
EXAMPLE 3
PARALLEL AND PERPENDICULAR LINES
Write an equation of the line that passes
through the given point and satisfies the given condition.
on p. 99
for Exs. 20–26
(23, 25); parallel to y 5 24x 1 1
(7, 1); parallel to y 5 2x 1 3
20.
21.
1
(2, 8); parallel to y 5 3x 2 2
(4, 1); perpendicular to y 5
x 1 3
22.
23.
}
3
(26, 2); perpendicular to y 5 22
(3, 21); perpendicular to y 5 4x 1 1
24.
25.
★
MULTIPLE CHOICE
What is an equation of the line that passes through
26.
(1, 4) and is perpendicular to the line y 5 2x 2 3?
1
7
1
9
1
A y 5 2x 1 2
B y 5
C y 5 2
D y 5 2
x 1
x 1
x 1 4
}
}
}
}
}
2
2
2
2
2
EXAMPLE 4
VISUAL THINKING
Write an equation of the line.
on p. 100
27.
28.
29.
y
y
y
for Exs. 27–38
(3, 0)
(4, 4)
(21, 5)
4
x
21
(3, 4)
1
1
(5, 24)
(3, 21)
x
4
x
1
WRITING EQUATIONS
Write an equation of the line that passes through the
given points.
(21, 3), (2, 9)
(4, 21), (6, 27)
(22, 23), (2, 21)
30.
31.
32.
33.
(0, 7), (3, 5)
34.
(21, 2), (3, 24)
35.
(25, 22), (23, 8)
(15, 20), (212, 29)
(3.5, 7), (21, 20.5)
(0.6, 0.9), (3.4, 22.6)
36.
37.
38.
★
39.
MULTIPLE CHOICE
Which point lies on the line that passes through the
point (9, 25) and has a slope of 26?
A (6, 10)
B (6, 6)
C (7, 7)
D (6, 24)
STANDARD FORM
Write an equation in standard form Ax 1 By 5 C of the line
that satisfies the given conditions. Use integer values for A, B, and C.
m 5 23, b 5 5
m 5 4, b 5 23
40.
41.
3
4
42.
m 5 2
, passes through (4, 27)
43.
m 5
, passes through (2, 3)
}
}
2
5
44.
passes through (21, 3) and (26, 27)
45.
passes through (2, 8) and (24, 16)
at
★
5 WORKED-OUT SOLUTIONS
5 STANDARDIZED
102
Chapter 2 Linear Equations and Functions
on p. WS1
TEST PRACTICE
ADVERTISEMENT
0 votes
Related Articles
Related forms
Chapter 4 Graphing And Writing Linear Equations - Section 4.7 Writing Equations In Point-slope Form Worksheet
Education
Writing Equations In Slope-intercept And Standard Form Worksheet With Answers - Chapter 4.1
Education
Linear Equations: Slope And Equations Of Lines Worksheet With Answers - Math 1313 Section 1.1
Education
Related Categories
Parent category: Education