To determine which equation models the trend line for the given points, we can use the information about the line of best fit.
- The line begins at the point (0, 2). This means that when \( x = 0 \), \( y = 2 \). The y-intercept is therefore 2.
- The line passes through the point (4, 7.2).
To find the slope of the line, we can use these two points:
- Point 1 (0, 2): This means \( y \) intercept \( b = 2 \).
- Point 2 (4, 7.2): We can use the formula for slope, which is: \[ \text{slope} = m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7.2 - 2}{4 - 0} = \frac{5.2}{4} = 1.3 \]
So, the slope \( m = 1.3 \).
- Now we can form the equation of the line in slope-intercept form \( y = mx + b \): \[ y = 1.3x + 2 \]
Now that we’ve established that the equation of the trend line is \( y = 1.3x + 2 \).
Thus, the correct answer is:
y = 1.3x + 2.