Use the image to answer the question.

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 of a line in slope-intercept form (y = mx + b), you need the slope (m) and the y-intercept (b).

From the graph, you'll typically determine the following:

1. Slope (m): This represents the change in cost per mile. You can calculate it by selecting two points on the line, finding the rise (change in cost) over the run (change in miles).

2. Y-intercept (b): This is the value of y (cost) when x (miles) is 0. It represents the base fare or initial cost of the taxi ride.

Since I can't see the graph, here’s how you process it:

1. Identify the two points on the line, say (x1, y1) and (x2, y2).
2. Calculate the slope (m) using the formula: \( m = \frac{y2 - y1}{x2 - x1} \)
3. Find the y-intercept (b) by locating where the line crosses the y-axis.

Once you have m and b, plug them into the slope-intercept form:

Final Example Template: If you find that \( m = 3 \) and \( b = 2 \), your equation would be: \( y = 3x + 2 \)

Fill in the appropriate values based on the data from the graph you're referencing.