Math Problem Statement

The image shows a list of coordinates to be plotted on a graph. Below are the points that need to be plotted:

(3, 4)

(5, 0)

(-3, 3)

(-2, 0)

(-1, -3)

(-4, 0)

(5, -3)

(-5, 0)

(0, 3)

(0, -5)

Solution

To plot these points on a graph, we will treat each pair of coordinates as an (x,y)(x, y) pair. Here's a breakdown of the points that need to be plotted:

  1. (3, 4): This point is 3 units to the right of the origin and 4 units up.
  2. (5, 0): This point is 5 units to the right of the origin on the x-axis.
  3. (-3, 3): This point is 3 units to the left of the origin and 3 units up.
  4. (-2, 0): This point is 2 units to the left of the origin on the x-axis.
  5. (-1, -3): This point is 1 unit to the left of the origin and 3 units down.
  6. (-4, 0): This point is 4 units to the left of the origin on the x-axis.
  7. (5, -3): This point is 5 units to the right of the origin and 3 units down.
  8. (-5, 0): This point is 5 units to the left of the origin on the x-axis.
  9. (0, 3): This point is on the y-axis, 3 units above the origin.
  10. (0, -5): This point is on the y-axis, 5 units below the origin.

Would you like me to plot these points on a graph for you?

Related Questions:

  1. What are the distances of each point from the origin?
  2. How do you calculate the slope between two points?
  3. How do the x- and y-intercepts affect the shape of a graph?
  4. What does symmetry in the coordinates indicate about the graph?
  5. Can you identify any geometric patterns from these points?

Tip: When plotting points on a graph, always start from the origin and move horizontally along the x-axis before moving vertically along the y-axis to locate the point correctly.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Plotting Points on a Cartesian Plane

Formulas

Distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2)

Theorems

Symmetry in Coordinate Geometry
Properties of the Cartesian Plane

Suitable Grade Level

Grades 6-8