To provide you with an accurate answer, I would need to see the graph you're referring to in order to identify key features such as the slope and the y-intercept. However, I can guide you on how to determine the equation of a linear function from a graph.
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Identify two points on the line: Choose two points on the graph where the line crosses grid lines. Let's call these points (x₁, y₁) and (x₂, y₂).
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Calculate the slope (m): Use the formula for slope, which is: \[ m = \frac{y₂ - y₁}{x₂ - x₁} \]
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Find the y-intercept (b): You can often see where the line crosses the y-axis. This point will have the coordinates (0, b), where b is the y-intercept. If the line does not cross (0, y) directly, you can use one of the points found in step 1 and the slope to calculate b using the formula for a line: \[ y = mx + b \] Rearranging gives: \[ b = y - mx \]
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Write the equation: Now that you have the slope (m) and the y-intercept (b), you can write the equation of the line in slope-intercept form: \[ y = mx + b \]
If you can provide more information about the graph, or specific points or options for equations, I can assist you further in finding the correct equation.
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