Math Problem Statement

Whats the slope of (0,12) and (16,8)

Solution

To find the slope between two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2), you use the slope formula:

slope=y2y1x2x1\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}

For the points (0,12)(0, 12) and (16,8)(16, 8), the slope is calculated as follows:

slope=812160=416=14\text{slope} = \frac{8 - 12}{16 - 0} = \frac{-4}{16} = -\frac{1}{4}

So, the slope of the line that passes through the points (0,12)(0, 12) and (16,8)(16, 8) is 14-\frac{1}{4}.

Would you like more details or have any other questions?

Here are 5 related questions you might find interesting:

  1. What is the y-intercept of the line passing through these points?
  2. How do you find the equation of the line with this slope and passing through these points?
  3. What is the significance of a negative slope in a linear equation?
  4. How would the slope change if one of the points were moved along the x-axis?
  5. Can you find the midpoint of the line segment between these two points?

Tip: The slope of a line indicates how steep the line is. A positive slope means the line rises as you move from left to right, while a negative slope means it falls.

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Math Problem Analysis

Mathematical Concepts

Analytical Geometry
Slope of a Line

Formulas

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

Theorems

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Suitable Grade Level

Grades 7-9