Math Problem Statement
Solution
The question asks to "write down the equation of another line that is parallel to the line ."
Solution:
For two lines to be parallel, they must have the same slope. The equation of the given line is in slope-intercept form , where is the slope and is the y-intercept.
In the equation , the slope is 3.
A parallel line will also have a slope of 3, but its y-intercept can be different. The general form of a line parallel to this one would be: Where can be any constant. For example, one possible answer could be: or any other value for .
Would you like further explanation or have any specific questions?
Here are 5 related questions you can explore:
- What is the equation of a line perpendicular to ?
- How do you find the slope of a line given two points?
- What does the slope of a line represent geometrically?
- How do you convert a line equation from standard form to slope-intercept form?
- What is the relationship between parallel and perpendicular slopes?
Tip: For parallel lines, always remember that the slopes must be equal, but the intercepts can vary.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Slope-intercept form y = mx + c
Theorems
Parallel Line Theorem
Suitable Grade Level
Grades 8-10