Question

The graph represents the cost of a taxi ride dependent upon the number of miles drives. The points given is 0, 3, 1.5, 5, 2, 8, 3, 10.5, 4, 13.

The slope-intercept form of the equation for the line is

Answer 1

To find the slope-intercept form of the equation for the line based on the given points, we first need to identify the slope (m) and the y-intercept (b) from the points provided. The points (miles, cost) are:

- (0, 3)
- (1.5, 5)
- (2, 8)
- (3, 10.5)
- (4, 13)

### Step 1: Find the slope (m)

The slope \( m \) can be calculated from two points using the formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Let's use the points (0, 3) and (4, 13):

\[
m = \frac{13 - 3}{4 - 0} = \frac{10}{4} = 2.5
\]

### Step 2: Use the y-intercept (b)

From the point (0, 3), we can see that the y-intercept \( b \) is 3.

### Step 3: Write the equation in slope-intercept form

The slope-intercept form of the equation is given by:

\[
y = mx + b
\]

Substituting the values we found for \( m \) and \( b \):

\[
y = 2.5x + 3
\]

### Conclusion

The slope-intercept form of the equation for the taxi ride cost is:

\[
y = 2.5x + 3
\]