Name:___________________________
Lab #19
Ms. Schwartz
Math A Year 2 Lab
More Locus
For these problems the equation of a line is either X = or Y =
1. Write an equation of the locus of points equidistant from the graphs of x = 4 and x = 6.
2. Write an equation of the locus of points equidistant from the graphs of y = -7 and y = 1.
3. Write the equation(s) of the locus of points 3 units from the line y = 5.
4. What is the equation of the locus of points equidistant from points A (1, 2) and B (5, 2).
The equation of a circle is (x - h)2  (y - k)2  r 2 where (h, k) is the center and r is the radius.
6. Write an equation of the locus of points 2 units from the origin.
7. Write an equation of the locus of points 3 units from the point (4, 8).
8. Write an equation of the locus of points 4 units from the point (2, -1).
9. Write an equation of the locus of points 10 units from the point (-5, -7).
All mixed together
10. Write the equation(s) of the locus of points 4 units from the line x = 1.
11. Write an equation of the locus of points 2 units from the point (-6, -3).
12. The equation of the locus of points 6 units from the origin is
(1) x 2  y 2  6
(3) x 2  y 2  36
(3) x  6
(4) y = 6
13. What is the equation of the locus of points equidistant from points A (-3, 2) and B (-3, 8).
14. Which equation represents the locus of all points 5 units below the x-axis?
(1) x = -5
(3) y = -5
(2) x = 5
(4) y = 5
15. Which equation describes the locus of points 5 units from point (3, -4).
(1) (x - 3)2  (y + 4)2  25
(3) (x - 3)2  (y + 4)2  5
(3) (x + 3)2  (y - 4)2  25
(4) (x + 3)2  (y - 4)2  5
16. Dan is sketching a map of the location of his house and his friend Matthew's house on a set
of coordinate axes. Dan locates his house at point D(0,0) and locates Matthews house, which is
6 miles east of Dan's house, at point M(6,0). On the accompanying set of coordinate axes, graph
the locus of points equidistant from the two houses. Then write the equation of the locus.
17. What is the equation of the locus of points equidistant from points A (0, 6) and B (0, -2).
18. Max’s is sketching a map of his living room. Max locates one of his couches at line y = 5
and locates his other couch at y = -3. On the accompanying set of coordinate axes, graph the
locus of points equidistant from the two couches. Then write the equation of the locus.
19. Which equation represents the locus of all points 4 units to the left of the y-axis?
(1) x = -4
(3) y = -4
(2) x = 4
(4) y = 4
20. Which equation represents the locus of all points 2 units to the above the line y = -2?
(1) x = 0
(3) y = 0
(2) x = 4
(4) y = 4
21. Write an equation of the locus of points 9 units from the point (5, 2).
22. The graph of the equation x 2  y 2  9 represents the locus of points at a distance, d, from
the origin. Find the value of d.
(1) 3
(3) 81
(2) 9
(4) 4.5
23. What is the equation of the locus of points equidistant from points A (2, 2) and B (2, 6).
24. Which equation represents the locus of all points 1 unit to the right of the x = -5?
(1) x = -4
(3) y = -4
(2) x = -6
(4) y = -6
25. Zelda is sketching a map of her kitchen. Her kitchen table is located at point (4, 3). On the
accompanying set of coordinate axes, graph the locus of points equidistant from the table. Then
write the equation of the locus.