Math Problem Statement

what is the slope

What is the slope?

Solution

To find the slope of the red line in the image, we can use two points from the line and apply the slope formula:

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

The points that can be easily identified from the graph are:

  1. Point A: (0, 5)
  2. Point B: (2, -3)

Using these points: m=3520=82=4m = \frac{-3 - 5}{2 - 0} = \frac{-8}{2} = -4

So, the slope of the line is -4.

Would you like more details or have any questions?

Here are some related questions:

  1. How do we calculate the y-intercept from a graph?
  2. What does the slope tell us about

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope

Formulas

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

Theorems

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Suitable Grade Level

Grades 7-9