Investigation: Parallel and perpendicular lines
On the same set of axes graph the lines
1. y = 3x + 7
2. y = 3x –7
3. y = 3x
4. What can you say about the slope of parallel lines?
On the same set of axes graph the lines
5. y = 3x + 7
6. y = - (1/3)x + 7
7. y = 5x +3
8. y= -(1/5)x
9. How does the line y = 3x + 7 compare to the line y = -(1/3)x +7?
10. How does the line y = 5x + 3 compare to the line y = -(1/5)x?
11. What can you say about the slope of lines that are perpendicular?
12. Write the equation of a line parallel to y = 3x + 1.
13. Write the equation of a line perpendicular to y = 3x + 1.
14. Write the equation of a line parallel to y = 3x +1 with y-intercept (0,-7).
15. Write the equation of a line perpendicular to y = 3x +1 with y-intercept (0,-7).
16. Write the equation of a line parallel to y = 3x –2 passing through (0,0)
17. Write the equation of a line perpendicular to y = 3x –2 passing through (0,0)
18. Write the equation of a line parallel to y = 3x +1 and passing through the point (1.2)
19. Write the equation of a line perpendicular to y = 3x +1 and passing through the point (1,2)
20. Given y = 3x + 5; y = 3x –4 ; y = (-1/3)x; y = (-1/3)x –7
a) Which pairs of lines are parallel ?
b) Which pairs of lines are perpendicular?