Math Problem Statement

what is the gradine with these coordinates -2,5 and 3,5

Solution

The gradient (or slope) of a line passing through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by the formula:

Slope (m)=y2y1x2x1\text{Slope (m)} = \frac{y_2 - y_1}{x_2 - x_1}

For the points (2,5)(-2, 5) and (3,5)(3, 5):

m=553(2)=03+2=05=0\text{m} = \frac{5 - 5}{3 - (-2)} = \frac{0}{3 + 2} = \frac{0}{5} = 0

The gradient of the line is 00. This means the line is horizontal.

Do you want more details, or have any questions?

Here are five related questions:

  1. What is the gradient of a vertical line?
  2. How do you calculate the equation of a line using two points?
  3. What does a positive gradient indicate about a line's direction?
  4. How do you find the midpoint between two points?
  5. Can a line have an undefined gradient?

Tip: A horizontal line always has a gradient of zero, as there's no vertical change.

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Math Problem Analysis

Mathematical Concepts

Geometry
Coordinate Geometry
Slope of a Line

Formulas

Slope formula: m = (y2 - y1) / (x2 - x1)

Theorems

Properties of horizontal lines

Suitable Grade Level

Grades 7-9