What is the slope of a line parallel to line y = 3x + 2?

The slope of a line parallel to the line \( y = 3x + 2 \) is the same as the slope of the given line. The equation is in slope-intercept form, \( y = mx + b \), where \( m \) represents the slope. For the line \( y = 3x + 2 \), the slope \( m \) is \( 3 \).

Thus, the slope of a line parallel to this line is also \( 3 \).

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Here are 5 related questions:
1. What is the slope of a line perpendicular to \( y = 3x + 2 \)?
2. How do you find the equation of a line given a point and the slope?
3. What is the y-intercept of the line \( y = 3x + 2 \)?
4. How can you determine if two lines are parallel from their equations?
5. What is the equation of a line parallel to \( y = 3x + 2 \) and passing through the point \( (1, 4) \)?

**Tip:** Parallel lines have identical slopes, while perpendicular lines have slopes that are negative reciprocals of each other.

Learn how to determine the slope of a line parallel to y = 3x + 2. This problem focuses on key algebra concepts, such as the slope-intercept form and parallel line theorem, suitable for students in Grades 7-10.

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