Math Problem Statement
What is the slope of a line parallel to y = 9x + 2?
Solution
To determine the slope of a line parallel to the given line, we first examine the equation provided:
In the equation , represents the slope. Here, , so the slope of this line is 9.
Since parallel lines have the same slope, a line parallel to will also have a slope of 9.
Would you like further details on this concept, or do you have any questions?
Here are some related questions to consider:
- What would be the slope of a line perpendicular to ?
- How can you find the slope if the equation is given in a different form, like ?
- What effect does changing the value (the y-intercept) have on parallel lines?
- How do you find the equation of a line parallel to that passes through a specific point?
- Can two lines with different slopes ever be parallel?
Tip: Remember, for two lines to be parallel, they must have the same slope but can have different y-intercepts.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slopes of Parallel Lines
Formulas
Slope-intercept form y = mx + b
Theorems
Parallel Lines Theorem
Suitable Grade Level
Grades 8-10