Write an equation in the form g = mx + b for the following table: -4 -28 -2 -12 4 20 4 36 52 68 10 84 %3D Submit Question

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### Linear Equation Problem

#### Problem Statement
Write an equation in the form \( y = mx + b \) for the following table:

| \( x \) | \( y \)  |
|--------|--------|
| -4     | -28    |
| -2     | -12    |
| 0      | 4      |
| 2      | 20     |
| 4      | 36     |
| 6      | 52     |
| 8      | 68     |
| 10    | 84     |

Enter the equation:

\[ y = \]

#### Instructions
The objective is to determine the linear equation that represents the relationship between \( x \) and \( y \) as given in the table. This linear equation should be in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

1. Calculate the slope (\( m \)) using two points from the table.
2. Solve for the y-intercept (\( b \)) using one of the points and the calculated slope.
3. Verify the equation with other points from the table.
4. Input the final equation into the provided box and submit.

Submit your equation in the field provided and click on "Submit Question" to check your answer.
Transcribed Image Text:### Linear Equation Problem #### Problem Statement Write an equation in the form \( y = mx + b \) for the following table: | \( x \) | \( y \) | |--------|--------| | -4 | -28 | | -2 | -12 | | 0 | 4 | | 2 | 20 | | 4 | 36 | | 6 | 52 | | 8 | 68 | | 10 | 84 | Enter the equation: \[ y = \] #### Instructions The objective is to determine the linear equation that represents the relationship between \( x \) and \( y \) as given in the table. This linear equation should be in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. 1. Calculate the slope (\( m \)) using two points from the table. 2. Solve for the y-intercept (\( b \)) using one of the points and the calculated slope. 3. Verify the equation with other points from the table. 4. Input the final equation into the provided box and submit. Submit your equation in the field provided and click on "Submit Question" to check your answer.
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