Download Keystone Algebra 1 - Writing Linear Equations

ID: 1
Keystone Algebra 1
Name___________________________________
Writing Linear Equations
Date________________ Period____
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Write the slope-intercept form of the equation of each line.
1)
2)
4
4
2
2
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−4
−4
1
2
3
4
5
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
7
3) Slope = , y-intercept = −3
3
1
4) Slope = − , y-intercept = −1
5
Write the slope-intercept form of the equation of each line.
5) x + y = −4
6) 4 x − 5 y = −5
Write the standard form of the equation of each line.
7) y − 4 = x − 4
8) y − 2 = x − 1
9) 0 = −3 y + 6 + 5 x
10) −10 y + 2 x + 20 = 0
Write the standard form of the equation of the line through the given point with the given slope.
11) through: (2, 2), slope = −
1
3
12) through: (1, −1), slope = −
4
5
Write the point-slope form of the equation of the line through the given point with the given slope.
13) through: (2, −4), slope = 8
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14) through: (2, 4), slope = −
-1-
1
4
Worksheet by Kuta Software LLC
Write the point-slope form of the equation of the line through the given points.
15) through: (1, −3) and (2, −5)
16) through: (−5, −5) and (2, 0)
Write the slope-intercept form of the equation of the line through the given points.
17) through: (1, 5) and (−2, −4)
18) through: (1, 2) and (5, −3)
Write the standard form of the equation of the line through the given points.
19) through: (−1, 1) and (0, −3)
20) through: (0, −1) and (−4, −1)
Write the standard form of the equation of the line described.
21) through: (4, 4), parallel to y =
5
x+1
4
22) through: (5, 1), parallel to y =
1
x−5
5
Write the slope-intercept form of the equation of the line described.
23) through: (−4, −3), parallel to y =
7
x+2
4
24) through: (5, 4), parallel to y =
3
x
5
Write the point-slope form of the equation of the line described.
25) through: (2, −1), parallel to y = − x
27) through: (−4, 3), perp. to x = 0
26) through: (3, 0), parallel to y = − x + 1
28) through: (4, −1), perp. to y =
4
x−1
5
Write the slope-intercept form of the equation of the line described.
1
29) through: (−2, 1), perp. to y = − x − 1
2
30) through: (2, 0), perp. to y =
2
x−3
5
Write the standard form of the equation of the line described.
5
31) through: (5, −2), perp. to y = − x − 1
2
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32) through: (−1, 1), perp. to y = 3
-2-
Worksheet by Kuta Software LLC
Answers to Writing Linear Equations (ID: 1)
1) y = 2 x + 5
21) 5 x − 4 y = 4
1
x−4
3
4
6) y = x + 1
5
10) x − 5 y = −10
1
14) y − 4 = − ( x − 2)
4
5
13
18) y = − x +
4
4
22) x − 5 y = 0
25) y + 1 = −( x − 2)
26) y = −( x − 3)
29) y = 2 x + 5
5
30) y = − x + 5
2
5) y = − x − 4
9) 5 x − 3 y = −6
13) y + 4 = 8( x − 2)
17) y = 3 x + 2
2) y =
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7
x−3
3
7) x − y = 0
1
4) y = − x − 1
5
8) x − y = −1
11) x + 3 y = 8
15) y + 3 = −2( x − 1)
12) 4 x + 5 y = −1
5
16) y + 5 = ( x + 5)
7
20) y = −1
3) y =
19) 4 x + y = −3
7
x+4
4
27) y − 3 = 0
23) y =
31) 2 x − 5 y = 20
-3-
3
x+1
5
5
28) y + 1 = − ( x − 4)
4
32) x = −1
24) y =
Worksheet by Kuta Software LLC