Math Problem Statement

Plot the points (0, −2) and (4, 1) on the coordinate plane.

Keyboard Instructions

Initial graph state

The horizontal axis goes from -5.4 to 5.4 with ticks spaced every 1 unit(s).

The vertical axis goes from -5.4 to 5.4 with ticks spaced every 1 unit(s).

Point

Move

Undo

Redo

Reset

12345−1−2−3−4−512345−1−2−3−4−5

x

y

0

Previous

1, Fully Attempted.

2, Fully Attempted.

3, Fully Attempted.

4, Fully Attempted.

5, Fully Attempted.

6, Fully Attempted.

7, Fully Attempted.

8, Fully Attempted.

9, Fully Attempted.

10, Fully Attempted.

Finish

Plot the points (0, −2) and (4, 1) on the coordinate plane.

Solution

To plot the points (0,2)(0, -2) and (4,1)(4, 1) on the coordinate plane provided:

  1. Locate the point (0,2)(0, -2):

    • This point is on the y-axis at -2.
    • Move straight down from the origin to y=2y = -2 and place a point there.
  2. Locate the point (4,1)(4, 1):

    • Move 4 units to the right along the x-axis.
    • Then move 1 unit up along the y-axis to reach y=1y = 1.
    • Place a point at (4,1)(4, 1).

Would you like any further explanation or additional steps on this?

Here are five additional questions that might deepen your understanding:

  1. How can we find the distance between these two points?
  2. What would be the slope of the line connecting these points?
  3. If we wanted to find the midpoint between these two points, how would we calculate it?
  4. How could we determine if these points lie on the same line with another given point?
  5. What is the equation of the line passing through these two points?

Tip: When plotting points, always identify both the x and y coordinates clearly to ensure correct placement.

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
Cartesian Plane

Formulas

-

Theorems

-

Suitable Grade Level

Grades 6-8