Write the equation of a line parallel to  and with a y-intercept of 2.

To write the equation of a line parallel to another, we need the slope of the given line. However, since you haven't provided the original line equation, I'll explain the general approach.

The equation of a line is typically written in **slope-intercept form**:
\[
y = mx + b
\]
where:
- \( m \) is the slope of the line, and
- \( b \) is the y-intercept.

### Steps:
1. **Find the slope of the original line**: For two lines to be parallel, they must have the same slope. So, we would take the slope \( m \) from the original line's equation.
2. **Use the y-intercept**: You've specified that the y-intercept is 2, meaning \( b = 2 \).

Thus, if the slope \( m \) is known, the equation of the parallel line would be:
\[
y = mx + 2
\]

Please provide the original line equation if you need the specific slope.

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Would you like more details or have any other questions?

### Related questions:
1. What is the slope of a line, and how do you find it from an equation?
2. How do you write the equation of a line given two points?
3. What is the difference between parallel and perpendicular lines in terms of slopes?
4. How do you convert a line equation from standard form to slope-intercept form?
5. How do you find the point of intersection between two lines?

**Tip:** Parallel lines always have the same slope but different y-intercepts unless they are the same line.

Write the equation of a line parallel to another and with a y-intercept of 2.

Learn how to write the equation of a line parallel to another, with a y-intercept of 2. This solution explains the concept of parallel lines, slope-intercept form, and how to find the equation of a line using a given y-intercept. Suitable for Grades 8-10.

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