Question #6447338Fill in the Blank
Algebra-1
Question
Two lines are given by the equations and . These lines are ______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to determine if two lines are parallel based on their slopes. The key concept is that parallel lines have the same slope.
This question tests the student's ability to determine if two lines are parallel based on their slopes. The key concept is that parallel lines have the same slope.
Key Concept Explanation
Parallel lines are lines in the same plane that never intersect. The slopes of parallel lines are equal, meaning if one line has a slope of , any line parallel to it will also have a slope of .
Parallel lines are lines in the same plane that never intersect. The slopes of parallel lines are equal, meaning if one line has a slope of , any line parallel to it will also have a slope of .
Step-by-step Solution
1. Identify the slope of the first line. The equation is in the form , where is the slope.
2. For the line , the slope is
1. Identify the slope of the first line. The equation is in the form , where is the slope.
2. For the line , the slope is
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