To determine the equation of the line from the image, we follow these steps:

Step 1: Identify the y-intercept

The line crosses the y-axis at (0, 1), so the y-intercept (b = 1).

Step 2: Calculate the slope

Choose two points on the line, e.g., (0,1) and (2,4). The slope (m) is:
[m = \frac{\Delta y}{\Delta x} = \frac{4 - 1}{2 - 0} = \frac{3}{2} = 1.5]

Step 3: Write the equation

Using the slope-intercept form (y = mx + b):
[y = 1.5x + 1]

Answer: (y = 1.5x + 1)

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