Math Problem Statement

What is the slope of this line?

Solution

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

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

where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are two points on the line. In this case, the points given are:

  • (0,0)(0, 0)
  • (4,3)(4, 3)

Substituting these values into the formula:

m=3040=34m = \frac{{3 - 0}}{{4 - 0}} = \frac{3}{4}

Therefore, the slope of the line is:

34\frac{3}{4}

Would you like a deeper explanation of the slope calculation process, or do you have any other questions?

Here are some related questions to consider:

  1. How do you determine the slope from a graph without given points?
  2. What does a positive slope represent in the context of a line's direction?
  3. How does changing the points on a line affect the slope?
  4. What are some examples of slopes that indicate horizontal and vertical lines?
  5. How do you find the slope between two points that include negative coordinates?

Tip: When calculating slope, always subtract coordinates in the same order, using (y2y1)/(x2x1)(y_2 - y_1) / (x_2 - x_1).

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Math Problem Analysis

Mathematical Concepts

Algebra
Coordinate Geometry
Slope of a Line

Formulas

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

Theorems

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Suitable Grade Level

Grades 7-9