Final answer:
The equation of the line that passes through the point (0,1) and has a gradient of 3 is y = 3x + 1.
Step-by-step explanation:
To find the equation of a line that passes through the point (0,1) and has a gradient of 3, we can use the slope-intercept form of a linear equation, which is y = mx + c, where m represents the gradient and c represents the y-intercept.
Substituting the given values into the equation, we have y = 3x + c. Since the line passes through (0,1), we can substitute x=0 and y=1 into the equation: 1 = 3(0) + c, which simplifies to 1 = c.
Therefore, the equation of the line is y = 3x + 1.