Question #6447339Fill 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 perpendicular based on their slopes. The key concept is that the product of the slopes of perpendicular lines is .
This question tests the student's ability to determine if two lines are perpendicular based on their slopes. The key concept is that the product of the slopes of perpendicular lines is .
Key Concept Explanation
Perpendicular lines are lines that intersect at a right angle. The slopes of perpendicular lines are negative reciprocals of each other, meaning if one line has a slope of , the slope of a line perpendicular to it is .
Perpendicular lines are lines that intersect at a right angle. The slopes of perpendicular lines are negative reciprocals of each other, meaning if one line has a slope of , the slope of a line perpendicular to it is .
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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