Math Problem Statement

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

Solution

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

y=mx+by = mx + b

Steps to Solve:

  1. Identify Points from the Table: If you have the table values, identify two points, (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2), from the table.

  2. Calculate the Slope (m): Use the formula for the slope between two points: m=y2y1x2x1m = \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 (x1,y1)(x_1, y_1) and the equation y=mx+by = mx + b to solve for bb.

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

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Slope-Intercept Form

Formulas

Slope formula
Slope-intercept form of a linear equation

Theorems

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Suitable Grade Level

Grades 7-9