Math Problem Statement

Find the slope of the line on the graph below.

Solution

To find the slope of the line in the graph, you need to determine two points that the line passes through, and then use the formula for slope:

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

Looking at the graph in your image, we can identify two points the line passes through:

  • One point seems to be at (1,2)(1, 2)
  • Another point looks to be at (5,0)(5, 0)

Using these two points (x1,y1)=(1,2)(x_1, y_1) = (1, 2) and (x2,y2)=(5,0)(x_2, y_2) = (5, 0), we can calculate the slope mm:

m=0251=24=12m = \frac{{0 - 2}}{{5 - 1}} = \frac{{-2}}{{4}} = -\frac{1}{2}

Thus, the slope of the line is:

m=12m = -\frac{1}{2}

Would you like further clarification or details on this?

Here are 5 related questions you might find helpful:

  1. How do you find the slope if the points are not so clear on the graph?
  2. Can you find the equation of the line using this slope?
  3. What does a negative slope tell you about the direction of the line?
  4. How do you interpret a slope of zero?
  5. What happens to the slope if the line is vertical?

Tip: Always pick clear points where the line crosses grid lines to avoid inaccuracies when finding the slope.

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Math Problem Analysis

Mathematical Concepts

Algebra
Coordinate Geometry
Linear Equations

Formulas

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

Theorems

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Suitable Grade Level

Grades 7-9