Math Problem Statement

Find the slope of the line from the table below.

Solution

To find the slope of the line from the given table, we use the formula for the slope between two points:

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

From the table, let's select two points:
For example, we can use (1,17)(1, -17) and (2,13)(2, -13).

Now, calculate the slope:

m=13(17)21=13+171=41=4m = \frac{-13 - (-17)}{2 - 1} = \frac{-13 + 17}{1} = \frac{4}{1} = 4

So the slope m=4m = 4.

Would you like more details on how to calculate slopes? Here are some related questions you can explore:

  1. How do you calculate the slope between two points on a graph?
  2. What does the slope represent in a real-world scenario?
  3. How do positive and negative slopes affect the direction of

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope

Formulas

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

Theorems

Slope of a line between two points

Suitable Grade Level

Grades 8-10