Math Problem Statement

What is the slope of this line passing through points (2, 4) and (6, 6)?

Solution

The question asks for the slope of the line passing through the points (2,4)(2, 4) and (6,6)(6, 6). To calculate the slope mm, we use the slope formula:

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

Here, (x1,y1)=(2,4)(x_1, y_1) = (2, 4) and (x2,y2)=(6,6)(x_2, y_2) = (6, 6).

Substituting the values into the formula:

m=6462=24=12m = \frac{6 - 4}{6 - 2} = \frac{2}{4} = \frac{1}{2}

Thus, the slope of the line is 12\frac{1}{2}.

Would you like any additional details or clarification?

Here are 5 related questions:

  1. How do you interpret slope in a real-world context?
  2. What is the equation of a line given its slope and a point?
  3. How does the slope of a line relate to its steepness?
  4. What happens to the slope if the line is vertical?
  5. How do you find the slope between two points when one or both points involve negative coordinates?

Tip: A positive slope means the line rises as it moves from left to right.

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Math Problem Analysis

Mathematical Concepts

Algebra
Slope
Coordinate Geometry

Formulas

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

Theorems

Slope Theorem

Suitable Grade Level

Grades 7-9