Question

for exercises 1–18, give the coordinates of each point. then name the quadrant or axis on which each point lies. 1. a (2, 2), i 2. b ____ 3. c (-6, 3) q? 4. d __ 5. p __ 6. f (4,6) i 7. g __ 8. h __ 9. n (0,5)? 10. j __ 11. k ____ 12. l (-4,-6) iii 13. which point(s) are in quadrant i? 14. which point(s) are in quadrant ii? 15. which point(s) are in quadrant iii? 16. which point(s) are in quadrant iv? 17. which point(s) are on the x-axis? 18. which point(s) are on the y-axis?

Explanation:

Problem 2: Point B

Step1: Determine x - coordinate

Looking at the graph, point B is 5 units to the left of the origin on the x - axis. So the x - coordinate is - 5.

Step2: Determine y - coordinate

Point B is 5 units above the origin on the y - axis. So the y - coordinate is 5.

Step3: Determine the quadrant

In the coordinate plane, for a point \((x,y)\), if \(x<0\) and \(y > 0\), the point lies in Quadrant II. Here \(x=-5<0\) and \(y = 5>0\), so it lies in Quadrant II.

Step1: Determine x - coordinate

Point C is 6 units to the left of the origin on the x - axis. So the x - coordinate is - 6.

Step2: Determine y - coordinate

Point C is 3 units above the origin on the y - axis. So the y - coordinate is 3.

Step3: Determine the quadrant

Since \(x=-6<0\) and \(y = 3>0\), the point lies in Quadrant II.

Step1: Determine x - coordinate

Point D is on the y - axis, so the x - coordinate is 0.

Step2: Determine y - coordinate

Point D is 3 units below the origin on the y - axis. So the y - coordinate is - 3.

Step3: Determine the axis

A point with \(x = 0\) lies on the y - axis.

Answer:

\((-5,5)\), II

Problem 3: Point C