Math Problem Statement

What is the amswer

What is the answer?

Solution

To find the rate of change (or slope) of the line in the graph, we use the formula for the slope, mm, which is:

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

From the graph, we can identify two points on the line to calculate the slope. Let’s choose two points that the line passes through clearly:

  1. Point 1: (6,6)( -6, 6 )
  2. Point 2: (2,3)( -2, -3 )

Now, plug these points into the slope formula:

m=362(6)=94=94m = \frac{{-3 - 6}}{{-2 - (-6)}} = \frac{{-9}}{{4}} = -\frac{9}{4}

It appears that I made a mistake identifying the points

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Math Problem Analysis

Mathematical Concepts

Algebra
Rate of Change
Slope

Formulas

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

Theorems

Slope theorem

Suitable Grade Level

Grades 8-10