Find the equation of the linear function represented by the table below in slope-intercept form.




To find the equation of a linear function from a table, we need two key pieces of information: the slope (\(m\)) and the y-intercept (\(b\)). The linear equation is generally expressed in the slope-intercept form:

\[
y = mx + b
\]

**Steps to Solve:**

1. **Identify Points from the Table:**
   If you have the table values, identify two points, \((x_1, y_1)\) and \((x_2, y_2)\), from the table.

2. **Calculate the Slope (m):**
   Use the formula for the slope between two points:
   \[
   m = \frac{y_2 - y_1}{x_2 - x_1}
   \]

3. **Find the y-Intercept (b):**
   Once you have the slope, use one of the points \((x_1, y_1)\) and the equation \(y = mx + b\) to solve for \(b\).

Could you please provide the values from the table so I can help you find the equation?

Learn how to find the equation of a linear function from a table using the slope-intercept form. This problem involves identifying points from a table, calculating the slope, and determining the y-intercept to formulate the linear equation. Suitable for Grades 7-9 students learning about linear functions and equations.

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