Math Problem Statement

What is the slope of this line?

Solution

To find the slope of the line, we use the slope formula:

m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}

The given points are (5,3)(-5, 3) and (0,0)(0, 0), where:

  • (x1,y1)=(5,3)(x_1, y_1) = (-5, 3)
  • (x2,y2)=(0,0)(x_2, y_2) = (0, 0)

Substituting into the slope formula:

m=030(5)=35m = \frac{0 - 3}{0 - (-5)} = \frac{-3}{5}

Thus, the slope of the line is:

m=35m = -\frac{3}{5}

Would you like more details or explanations on this? Here are some related questions:

  1. What does the slope of a line represent geometrically?
  2. How can you interpret a negative slope in real-life scenarios?
  3. How does changing the points affect the slope of a line?
  4. What are other forms of the equation of a line, such as point-slope form?
  5. How would the slope change if the line were steeper or flatter?

Tip: The slope of a line tells us how much the line rises or falls for every unit it moves horizontally.

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Math Problem Analysis

Mathematical Concepts

Algebra
Coordinate Geometry
Linear Equations

Formulas

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

Theorems

Basic Theorem of Slopes

Suitable Grade Level

Grades 6-8