To write the equation in slope-intercept form (y = mx + b), we need to identify two key components from the graph: the slope (m) and the y-intercept (b).
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Finding the Slope (m): The slope represents the rate of change of cost with respect to the number of miles driven. You can find the slope by determining how much the cost (y) increases for each additional mile (x). Look for two points on the line (for example, (x1, y1) and (x2, y2)) and use the formula:
\[ m = \frac{y2 - y1}{x2 - x1} \]
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Finding the Y-Intercept (b): The y-intercept is the point where the line crosses the y-axis (when x = 0). This value represents the initial cost of riding the taxi before any miles are driven.
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Forming the Equation: Once you have identified the slope and the y-intercept, you can substitute these values into the slope-intercept equation:
\[ y = mx + b \]
If you can provide specific points or values from the graph, I can help you further in calculating the slope and y-intercept, and completing the equation.
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