To write the equation in slope-intercept form, \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept, you will need two key pieces of information:
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Slope (m): This represents the change in cost per mile driven. You can find the slope by selecting two points on the graph and using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the points.
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Y-intercept (b): This is the point where the line crosses the y-axis. This value represents the initial cost of the taxi ride before any distance is traveled.
Once you have the slope and y-intercept, you can complete the equation for the line in the form \(y = mx + b\).
If you could provide the specific points on the graph or other relevant information (like starting cost or cost per mile), I could help you calculate \(m\) and \(b\) to complete the equation accurately.