Question

The graph represents the cost of a taxi ride dependent upon the number of miles driven. Write an equation in slope-intercept form. What values are needed to complete the equation? (1 point) The slope-intercept form of the equation for the line is y= x+ .

Answer 1

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:

1. **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.

2. **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.