**Finding the Equation of a Line Parallel to y=3x-1**

To find the equation of a line that is parallel to the given line y=3x-1 and passes through the point (1,2), we can follow these steps:

**Step 1: Understand the Concept**

To understand the concept of finding the equation of a line parallel to another line, we need to know that parallel lines have the same slope.

In the given equation y=3x-1, the slope is 3.

**Step 2: Determine the Slope**

Since the new line is parallel to y=3x-1, it will have the same slope, which is 3.

**Step 3: Use the Point-Slope Form**

The point-slope form of a line is given by the equation:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line and m is the slope.

**Step 4: Substitute the Values**

Substituting the values of the given point (1,2) and the slope (m=3) into the point-slope form, we have:

y - 2 = 3(x - 1)

**Step 5: Simplify the Equation**

Expanding the equation, we have:

y - 2 = 3x - 3

Simplifying further, we get:

y = 3x - 3 + 2

y = 3x - 1

**Step 6: Final Equation**

The equation of the line passing through the point (1,2) and parallel to y=3x-1 is y = 3x - 1.

Therefore, the equation of the line we are looking for is y = 3x - 1.