1.Find the Distance Between the Points ( 4, 3) and (7, 1).1. ______

NAME ______

MAT 187 – Homework 4

Sections 2.1 and 2.2

Directions: Show all work and write your final answer in the space provided.

1.Find the distance between the points (–4, 3) and (7, –1).1. ______

2.Graph y = |x| – 3 by pointing points.

3.Find the midpoint of the segment connecting the points (–8, 4) and (–2, –6).3. ______

4.Find the equation of the circle with center at (–5, 3) and a radius of 4.4. ______

5.Find the x-intercepts of y = 3x2 – 5x – 2.5. ______

6.Find the y-intercepts of y = 3x2 – 5x – 2.6. ______

7.Find the distance between the points (5, –7) and (–6, 9).7. ______

8.Find the midpoint of the segment connecting the points (9, –1) and (–4, –13).8. ______

9.Find the x-intercept of y – 3xy + 3x = 5.9. ______

10.Find the y-intercept of y – 3xy + 3x = 5.10. ______

11.Find the equation of the circle with center at the origin passing through the11. ______

point ( 3, 6).

12.Find the distance between the points (6, –7) and (–2, 5).12. ______

13.Find the center and radius of the circle x2 + y2 + 2x – 4y = 4.Center: ______

Radius: ______

14.Find the equation of the circle with endpoints of the diameter at (–1, 3) and (7, –5).14. ______

15.Graph y = –x2 + 1 by plotting points.

16.Find the x-intercepts of.16. ______

17.Find the y-intercepts of.17. ______

18.Find the center and radius of the circle x2 + y2 – 6x + 8y + 21 = 0.Center: ______

Radius: ______

19.Find the equation of the circle with center at (2, –4) passing through the19. ______

point (–1, 2).

20.Find the center and radius of the circle x2 + y2 + 6x +10y + 27 = 0.Center: ______

Radius: ______