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 + __

1 answer

To write an equation in slope-intercept form (y = mx + b), you need two key values: the slope (m) and the y-intercept (b).

  1. Slope (m): This is the rate of change of the cost with respect to the miles driven. You can determine the slope by taking two points from the graph, finding the change in the y-values (cost) and dividing it by the change in the x-values (miles).

  2. Y-Intercept (b): This is the value of y when x = 0. It represents the base fare or initial charge before any miles are driven.

Given that I do not have access to the actual graph, I can't provide specific numerical values for these components. However, if you can identify two points from the graph (let's say (x1, y1) and (x2, y2)), you can calculate the slope using:

\[ m = \frac{y2 - y1}{x2 - x1} \]

And if the graph intersects the y-axis at a specific point, that will give you the y-intercept value (b).

Once you determine both the slope and the y-intercept, you can then fill in the equation in the form:

\[ y = mx + b \]

Please use the information from the graph to determine these values.