Math Problem Statement
Solution
To find the equation of the line that is parallel to and passes through the point , we first note that parallel lines have the same slope. The slope of the given line is 2.
Using the point-slope form of a line equation, , where and :
Simplify:
The equation of the parallel line is .
Therefore, the correct answer is:
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Parallel Lines
Formulas
Point-slope form: y - y1 = m(x - x1)
Slope of a parallel line is the same as the original line
Theorems
Parallel lines have the same slope
Suitable Grade Level
Grades 8-10
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