Download Writing Linear Equations

Kuta Software - Infinite Algebra 1
Name___________________________________
Writing Linear Equations
Date________________ Period____
Write the slope-intercept form of the equation of each line.
1) 3 x − 2 y = −16
2) 13 x − 11 y = −12
3) 9 x − 7 y = −7
4) x − 3 y = 6
5) 6 x + 5 y = −15
6) 4 x − y = 1
7) 11 x − 4 y = 32
8) 11 x − 8 y = −48
Write the standard form of the equation of the line through the given point with the given slope.
9) through: (1, 2), slope = 7
11) through: (−2, 5), slope = −4
10) through: (3, −1), slope = −1
12) through: (3, 5), slope =
5
3
Kuta Software - Infinite Algebra 1
Name___________________________________
Writing Linear Equations
Date________________ Period____
Write the slope-intercept form of the equation of each line.
1) 3 x − 2 y = −16
y=
3
x+8
2
3) 9 x − 7 y = −7
y=
9
x+1
7
5) 6 x + 5 y = −15
6
y=− x−3
5
7) 11 x − 4 y = 32
y=
11
x−8
4
2) 13 x − 11 y = −12
y=
13
12
x+
11
11
4) x − 3 y = 6
y=
1
x−2
3
6) 4 x − y = 1
y = 4x − 1
8) 11 x − 8 y = −48
y=
11
x+6
8
Write the standard form of the equation of the line through the given point with the given slope.
9) through: (1, 2), slope = 7
7x − y = 5
11) through: (−2, 5), slope = −4
4 x + y = −3
10) through: (3, −1), slope = −1
x+ y=2
12) through: (3, 5), slope =
5x − 3 y = 0
5
3
Parallel Slopes
1) What is the slope of a line parallel to 4x + 2y = 9?
2) What is the slope of a line parallel to -2x + 3y = 10?
3) What is the slope of a line parallel to x - 5y = -11?
4) What is the slope of a line parallel to x = -1?
5) What is the slope of a line parallel to y = 37?
6) What is the slope of a line parallel to 2x - 20y = 14?
Finding Solutions
7) Is the point (-1, 1) a solution to the line 4x + 2y = 9?
8) Is the point (4,-3) a solution to the line -2x + 3y = 10?
9) Is the point (-16, -1) a solution to the line x - 5y = -11?
10) Is the point (-1, 4.7) a solution to the line x = -1?
11) Is the point (8, -15) a solution to the line y = 37?
12) Is the point (9.5, ¼) a solution to the line 2x - 20y = 14?
ANSWERS
Parallel Slopes
1) What is the slope of a line parallel to 4x + 2y = 9?
-2
2) What is the slope of a line parallel to -2x + 3y = 10?
2/3
3) What is the slope of a line parallel to x - 5y = -11?
1/5
4) What is the slope of a line parallel to x = -1?
undefined
5) What is the slope of a line parallel to y = 37?
0
6) What is the slope of a line parallel to 2x - 20y = 14?
1/10
Finding Solutions
7) Is the point (-1, 1) a solution to the line 4x + 2y = 9?
No
8) Is the point (-1, 1) a solution to the line -2x + 3y = 10?
No
9) Is the point (-1, 1) a solution to the line x - 5y = -11?
Yes
10) Is the point (-1, 1) a solution to the line x = -1?
Yes
11) Is the point (-1, 1) a solution to the line y = 37?
No
12) Is the point (-1, 1) a solution to the line 2x - 20y = 14?
Yes
Kuta Software - Infinite Algebra 1
Name___________________________________
Graphing Lines
Date________________ Period____
Sketch the graph of each line.
2) y = −5 x − 1
1
1) y = − x − 2
5
6
6
4
4
2
2
−6 −5 −4 −3 −2 −1 0
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
5
6
−2
−2
−4
−4
−6
−6
4) y = −7 x + 3
5
3) y = − x
2
6
6
4
4
2
2
−6 −5 −4 −3 −2 −1 0
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−2
−2
−4
−4
−6
−6
5) y = 2 x − 5
6) y = −6 x + 1
6
6
4
4
2
2
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−4
−4
−6
−6
-1-
8) y = 0
1
7) y = − x + 4
3
6
6
4
4
2
2
−6 −5 −4 −3 −2 −1 0
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
5
6
−2
−2
−4
−4
−6
−6
10) y = 7 x − 5
2
9) y = − x − 4
5
6
6
4
4
2
2
−6 −5 −4 −3 −2 −1 0
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−2
−2
−4
−4
−6
−6
11) y = −6 x + 5
5
12) y = − x + 5
2
6
6
4
4
2
2
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−4
−4
−6
−6
-2-
Kuta Software - Infinite Algebra 1
Name___________________________________
Graphing Lines
Date________________ Period____
Sketch the graph of each line.
2) y = −5 x − 1
1
1) y = − x − 2
5
6
6
4
4
2
2
−6 −5 −4 −3 −2 −1 0
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
5
6
−2
−2
−4
−4
−6
−6
4) y = −7 x + 3
5
3) y = − x
2
6
6
4
4
2
2
−6 −5 −4 −3 −2 −1 0
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−2
−2
−4
−4
−6
−6
5) y = 2 x − 5
6) y = −6 x + 1
6
6
4
4
2
2
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−4
−4
−6
−6
-1-
8) y = 0
1
7) y = − x + 4
3
6
6
4
4
2
2
−6 −5 −4 −3 −2 −1 0
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
5
6
−2
−2
−4
−4
−6
−6
10) y = 7 x − 5
2
9) y = − x − 4
5
6
6
4
4
2
2
−6 −5 −4 −3 −2 −1 0
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−2
−2
−4
−4
−6
−6
11) y = −6 x + 5
5
12) y = − x + 5
2
6
6
4
4
2
2
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−4
−4
−6
−6
-2-
DATE
NAME
6-4
Student Edition
Pages 346–353
Practice
Writing Linear Equations in Slope-Intercept Form
y
For each line graphed at the right:
a. state the slope,
b. state the x- and y-intercepts, and
c. write an equation in slope-intercept form.
s
6
4
r
2
1. r
–4
–2
O
2
4
6 x
–2
2. s
–4
t
–6
3. t
Find the x- and y-intercepts of the graph of each
equation.
4. 4x 2 3y 5 12
5. 2x 2 5y 5 20
6. x 1 5y 5 8
7. 3x 2 y 5 27
Find the slope and y-intercept of the graph of each equation.
8. 5x 1 2y 5 7
9. 22x 1 3y 5 8
10. 8x 2 y 5 12
11. 7x 2 2y 5 9
Write an equation in standard form for a line that passes
through each pair of points.
12. (3, 4), (21, 24)
13. (2, 5), (0, 3)
14. (23, 1), (21, 23)
15. (25, 22), (1, 26)
© Glencoe/McGraw-Hill
44
Algebra 1
DATE
NAME
6-4
Student Edition
Pages 346–353
Practice
Writing Linear Equations in Slope-Intercept Form
y
For each line graphed at the right:
a. state the slope,
b. state the x- and y-intercepts, and
c. write an equation in slope-intercept form.
s
6
4
r
2
1. r
–4
–2
O
2
4
6 x
–2
2. s
–4
t
–6
3. t
Find the x- and y-intercepts of the graph of each
equation.
4. 4x 2 3y 5 12
5. 2x 2 5y 5 20
6. x 1 5y 5 8
7. 3x 2 y 5 27
Find the slope and y-intercept of the graph of each equation.
8. 5x 1 2y 5 7
9. 22x 1 3y 5 8
10. 8x 2 y 5 12
11. 7x 2 2y 5 9
Write an equation in standard form for a line that passes
through each pair of points.
12. (3, 4), (21, 24)
13. (2, 5), (0, 3)
14. (23, 1), (21, 23)
15. (25, 22), (1, 26)
© Glencoe/McGraw-Hill
44
Algebra 1