Parallel And Perpendicular Lines Page 2
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1
2= �� ( �� − ��
)
Point-Slope Form: �� − ��
��
��
13. Write the Point-Slope form of the equation
14. Write the Point-Slope form of the equation for
for the line that passes through the point ( 1, 4 )
the line that passes through the point ( 3, −1 )
parallel to the line graphed below.
perpendicular to the line graphed below.
Directions for 15-18: Write the equation for each line described below.
15. Through: ( −3, 4 ) Parallel to the x-axis
16. Through: ( 2, −5 ) Perpendicular to the y-axis
Equation:
Slope:
Equation:
Slope:
17. Through: ( −4, −1 ) Perpendicular to the x-axis
18. Through: ( 6, 2 ) Parallel to the y-axis
Equation:
Slope:
Equation:
Slope:
Directions for 19-20: Write the Standard Form of the equation for each line described below.
Standard Form: ���� + ���� = ��
19. Through: ( 4, 3 ) Perpendicular to �� = 2�� − 3
20. Through: ( 2, −2 ) Parallel to �� = 3�� + 1
Answer Bank
2
1
�� − 5 = 4 ( �� + 2 )
�� − 7 = 3 ( �� − 6 )
�� = 4�� + 2
�� = −
�� + 8
�� =
�� − 3
�� = 4
3
2
7
5
2
( �� + 3 )
( �� − 4 )
�� − 2 = −2 ( �� − 3 )
�� + 7 =
�� + 3 = −
�� = 3�� + 14
�� = −
��
3
4
5
3
1
( �� − 6 )
�� + 1 = 2 ( �� − 3 )
�� = −
�� + 2
�� + 5 = −
������������������
0
3�� − �� = 8
2
2
�� − 4 = −3 ( �� − 1 )
�� = −4
�� = −5
������������������
�� + 2�� = 10
�� = 6
0
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