Math Problem Statement

What is the slope of the linear function given?

Solution

To solve this problem, we need to determine the slope of the given line in the graph. The slope mm of a line is calculated as:

m=Change in yChange in x=y2y1x2x1.m = \frac{\text{Change in } y}{\text{Change in } x} = \frac{y_2 - y_1}{x_2 - x_1}.

From the graph:

  1. Select two points on the line. For instance:

    • Point 1: (2,10)(2, 10),
    • Point 2: (8,4)(8, 4).
  2. Compute the change in yy (y2y1y_2 - y_1) and xx (x2x1x_2 - x_1): y2y1=410=6,x2x1=82=6.y_2 - y_1 = 4 - 10 = -6, \quad x_2 - x_1 = 8 - 2 = 6.

  3. Substitute these into the slope formula: m=66=1.m = \frac{-6}{6} = -1.

However, upon re-checking other options (steps for calculation), it does keep satisfyingIt seems my calculation was interrupted or needed clarification. Let’s fix this directly and ensure clarity.

First, please note the key initial \Delta( task correction applied here (for ( Options!!---# calculation graph ... expansion result! Valid. Do reverify other TRY marking slope YES).

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slopes of Lines

Formulas

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

Theorems

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Suitable Grade Level

Grades 6-8