Find the equations of the following lines using the given data.
Think carefully before doing algebra steps that may not be necessary.
A line through the point (2,−3)
with the same x-intercept as
1
A line through the point
( − 6,4) with a slope − 23
2
A line through points
(−2,1) and (0,3)
3
4
A line through points
(−1,1) and (3,−3)
5
A line through the point (2,−5)
with the same y-intercept as
1x−2= 2y
2
5
6
A line through the point (2,−3)
with the same slope as
1 y−2 = 3x
2
4
7
A line through points
(−2,1) and (1,3)
8
A line through the point
( − 10,0) with the same
x-intercept as 73 y − 25 x = 4
9
A line through points
(−1,1) and (−3,−4)
10
A line through the point (0,4)
with the same x-intercept as
1 y = 4− 4x
2
3
11
A line through the
point (8,−1) with a slope 43
13
A line through points
(−2,1) and (−2,−7)
A line through the point
14
A line through the point (2,−2)
12
(−1,2)
with the same slope as
4 − 23 y = 4x
3y − 2x = 4
with the same y-intercept as
3x
4 − 23 y = 11
15
A line through points
(0,−1) and (−2,3)
A line through the point (2,−3)
with the same x-intercept as
Find the equations of the following lines using the given data.
Think carefully before doing algebra steps that may not be necessary.
1
A line through the point
( − 6,4) with a slope − 23
2
A line through points
(−2,1) and (0,3)
3
4
A line through points
(−1,1) and (3,−3)
5
A line through the point (2,−5)
with the same y-intercept as
1x−2= 2y
2
5
6
A line through the point (2,−3)
with the same slope as
1 y−2 = 3x
2
4
7
A line through points
(−2,1) and (1,3)
8
A line through the point
( − 10,0) with the same
x-intercept as 73 y − 25 x = 4
9
A line through points
(−1,1) and (−3,−4)
10
A line through the point (0,4)
with the same x-intercept as
1 y = 4− 4x
2
3
11
A line through the
point (8,−1) with a slope 43
13
A line through points
(−2,1) and (−2,−7)
A line through the point
14
with the same slope as
4 − 23 y = 4x
3y − 2x = 4
A line through the point (2,−2)
12
(−1,2)
15
with the same y-intercept as
3x
4 − 23 y = 11
A line through points
(0,−1) and (−2,3)
Answers:
1. y = − 23 x
2. y = x + 3
3. y = − 43 x + 23
4. y = −x
5. y = −5
6. y = 23 x − 6
7. y = 23 x + 2 13
8. x = −10
9. y = 52 x + 3 12
10. y = − 43 x + 4
11. y = 43 x − 7
12. y = −4x + 6
13. x = −2
14. y = −6x − 4
15. y = −2x −1
1. y = − 23 x
2. y = x + 3
3. y = − 43 x + 23
4. y = −x
5. y = −5
6. y = 23 x − 6
7. y = 23 x + 2 13
8. x = −10
9. y = 52 x + 3 12
10. y = − 43 x + 4
11. y = 43 x − 7
12. y = −4x + 6
13. x = −2
14. y = −6x − 4
15. y = −2x −1
Answers: