©9 T200D1C2u rKTuMtbaI pScoOfXttwDaVrKem hLULnCZ.3 p fAjlNl8 FrTiGgdhct0sN trjels3ezrpvOeOdf.9 h xM6awdieZ Ew3iYtYhc pIBn9fHienFihtpeX BA5lZgIepberxaD v15.B Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1 Name___________________________________
Period____
Date________________
Writing Linear Equations
Write the slope-intercept form of the equation of each line.
1) 3x − 2y = −16 2) 13x − 11y = −12
3) 9x − 7y = −7 4) x − 3y = 6
5) 6x + 5y = −15 6) 4x − y = 1
7) 11x − 4y = 32 8) 11x − 8y = −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 10) through:(
3, −1)
, slope = −111) through:
(
−2, 5)
, slope = −412) through:
(
3, 5)
, slope = 5 3-1-
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13) through:
(
2, −4)
, slope = −1 14) through:(
2, 5)
, slope = undefined15) through:
(
3, 1)
, slope = 1 216) through:
(
−1, 2)
, slope = 2Write the point-slope form of the equation of the line described.
17) through:
(
4, 2)
, parallel to y =−3
4x − 5 18) through:
(
−3, −3)
, parallel to y =7 3x + 3
19) through:
(
−4, 0)
, parallel to y =3 4x − 2
20) through:
(
−1, 4)
, parallel to y =−5x + 2
21) through:
(
2, 0)
, parallel to y =1 3x + 3
22) through:
(
4, −4)
, parallel to y =−x − 4
23) through:
(
−2, 4)
, parallel to y =−5
2x + 5 24) through:
(
−4, −1)
, parallel to y =−1 2x − 1
-2-
©d 82P0k1f2T 1Klu9tqap 2ShoKfZtgwHaTrteI BLgLiCQ.e R xANlOlh JrKi0gMh6t8sq YrCensheRr8vqeed8.3 Y JMGapdQeX TwGiRtVhW 8I2nffDiPn8iDtEep QAVlVgue3bjrvaV Y11.X Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1 Name___________________________________
Period____
Date________________
Writing Linear Equations
Write the slope-intercept form of the equation of each line.
1) 3x − 2y = −16
y =
3 2x + 8
2) 13x − 11y = −12
y =
13 11x +
12 11
3) 9x − 7y = −7
y =
9 7x + 1
4) x − 3y = 6
y =
1 3x − 2
5) 6x + 5y = −15
y =
−6 5x − 3
6) 4x − y = 1 y =
4x − 1
7) 11x − 4y = 32
y =
11 4 x − 8
8) 11x − 8y = −48
y =
11 8 x + 6
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 = 510) through:
(
3, −1)
, slope = −1 x + y = 211) through:
(
−2, 5)
, slope = −4 4x + y = −312) through:
(
3, 5)
, slope = 5 3 5x − 3y = 0-1-
©J O2Y0h1E2R MKDu6tAaX kS6oSfQtbwdaWrfeY DLoLbCl.R v wAclRl8 3ruiFgYh1tNs3 jr5e7sOeVrbvXeId7.i 1 lMoaKdGe5 WweiStuhr UIwnofAijnzi7tgeC YAQl3goeqbcrmaM v16.S Worksheet by Kuta Software LLC
13) through:
(
2, −4)
, slope = −1 x + y = −214) through:
(
2, 5)
, slope = undefined x = 215) through:
(
3, 1)
, slope = 1 2 x − 2y = 116) through:
(
−1, 2)
, slope = 2 2x − y = −4Write the point-slope form of the equation of the line described.
17) through:
(
4, 2)
, parallel to y =−3 4x − 5
y − 2 =
−3 4
(
x − 4)
18) through:
(
−3, −3)
, parallel to y =7 3x + 3
y + 3 =
7 3
(
x + 3)
19) through:
(
−4, 0)
, parallel to y =3 4x − 2
y =
3 4
(
x + 4)
20) through:
(
−1, 4)
, parallel to y =−5x + 2 y − 4 = −5
(
x + 1)
21) through:
(
2, 0)
, parallel to y =1 3x + 3
y =
1 3
(
x − 2)
22) through:
(
4, −4)
, parallel to y =−x − 4 y + 4 = −
(
x − 4)
23) through:
(
−2, 4)
, parallel to y =−5 2x + 5
y − 4 =
−5 2
(
x + 2)
24) through:
(
−4, −1)
, parallel to y =−1 2x − 1
y + 1 =
−1 2
(
x + 4)
-2-
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