Question #6447370Fill 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 by checking if the product of their slopes is -1. The given lines have slopes that are negative reciprocals, so they are perpendicular.
This question tests the student's ability to determine if two lines are perpendicular by checking if the product of their slopes is -1. The given lines have slopes that are negative reciprocals, so they are perpendicular.
Key Concept Explanation
Perpendicular lines are lines that intersect at right angles. The product of the slopes of two perpendicular lines is -1. If the slope of one line is , the slope of a line perpendicular to it is .
Perpendicular lines are lines that intersect at right angles. The product of the slopes of two perpendicular lines is -1. If the slope of one line is , the slope of a line perpendicular to it is .
Step-by-step Solution
1. Identify the slopes of both lines. The first line has the equation , so its slope is .
2. The second line has the equation
1. Identify the slopes of both lines. The first line has the equation , so its slope is .
2. The second line has the equation
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