Math Problem Statement

can i write it like (-1,1) and (3,-31)

Solution

Yes, you can write pairs of coordinates like (1,1)(-1, 1) and (3,31)(3, -31) if you're referring to points on a coordinate plane. Each pair represents the coordinates of a point, where the first number in the pair is the x-coordinate and the second is the y-coordinate.

  • (1,1)(-1, 1) means the point is located at 1-1 on the x-axis and 11 on the y-axis.
  • (3,31)(3, -31) means the point is located at 33 on the x-axis and 31-31 on the y-axis.

These points can be used in various contexts, such as geometry (plotting on graphs) or algebra (working with equations of lines, distances, or slopes).

Would you like further details or have any questions on how these points are used in specific contexts?

Here are 5 related questions to explore:

  1. How do you calculate the distance between two points (1,1)(-1, 1) and (3,31)(3, -31)?
  2. What is the slope of the line passing through these two points?
  3. How do you find the midpoint of the line segment joining these points?
  4. How do you determine if these points lie on a given line equation?
  5. How can these points be used in a real-world application, such as navigation or mapping?

Tip: To find the slope of a line passing through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2), use the formula: y2y1x2x1\frac{y_2 - y_1}{x_2 - x_1}.

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Math Problem Analysis

Mathematical Concepts

Geometry
Coordinate Plane
Points and Lines

Formulas

Distance between two points: √((x2 - x1)^2 + (y2 - y1)^2)
Slope of a line: (y2 - y1) / (x2 - x1)
Midpoint of a line segment: ((x1 + x2)/2, (y1 + y2)/2)

Theorems

Pythagorean Theorem

Suitable Grade Level

Grades 6-8