Math Problem Statement

Find the slope of the line that passes through (8, 6) and (1, 9).

Solution

The formula to find the slope mm of a line passing through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is:

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

Given points:

  • (x1,y1)=(8,6)(x_1, y_1) = (8, 6)
  • (x2,y2)=(1,9)(x_2, y_2) = (1, 9)

Substitute the values into the formula:

m=9618=37=37m = \frac{9 - 6}{1 - 8} = \frac{3}{-7} = -\frac{3}{7}

So, the slope of the line is 37-\frac{3}{7}.

Would you like more help with slope or related topics? Here are some related questions:

  1. How do you find the equation of a line given two points?
  2. What is the slope of a horizontal line?
  3. What is the slope of a vertical line?
  4. How do you find the y-intercept of a line given a point and slope?
  5. How do you interpret the slope in real-world problems?

Tip: A negative slope means the line goes down as you move from left to right.

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Math Problem Analysis

Mathematical Concepts

Algebra
Coordinate Geometry
Slope of a Line

Formulas

m = (y2 - y1) / (x2 - x1)

Theorems

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Suitable Grade Level

Grades 6-8