Practice: Section 6-6
Integration of Geometry: Parallel and Perpendicular Lines
Part 1: Parallel Lines
Directions: Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of each equation.
1. 2x + y = 5; (3, 1)
2. 3x − y = 5; (−1, −2)
3. 5x − 4y = 1; (−8, 2)
4. 9x + 3y = 8; (−1, −4)
5. y = 4/3x + 5; (12, 3)
6. y = −3/4x + 1/4; (4, −2)
Part 2: Perpendicular Lines
Directions: Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of each equation.
7. x − 6y = 2; (2, 4)
8. 3x + 2y = −7; (1, 1)
9. 5x + 4y = 8; (10, 5)
10. 4x + 3y = −6; (2, 1)
11. y = 1/4x − 4; (−2, 3)
12. 2x + 10y = 3; (2, 3)
13. x = 2y − 1; (0, 0)
14. 4x + 7y = 6; (−4, 1)