Concept explainers
a.
To determine whether the graph of the given equations is parallel/perpendicular/neither.
a.
Answer to Problem 2P
The lines are neither parallel nor perpendicular to each other.
Explanation of Solution
Given :
The equations are
Definition :
Two lines
Two lines
Calculation :
Let,
And,
Comparing (i) and (ii) with the standard equation
Clearly, the slopes are neither equal to each other nor negative reciprocals of each other.
Hence, the lines are neither parallel nor perpendicular to each other.
b.
To determine whether the graph of the given equations is parallel/perpendicular/neither.
b.
Answer to Problem 2P
Both the lines are parallel to each other.
Explanation of Solution
Given :
The equations are
Definition :
Two lines
Two lines
Calculation :
The first equation
And,
Comparing (i) and (ii) with the standard equation
Clearly, the slopes of (i) and (ii) are equal to each other.
Hence, both the lines are parallel to each other.
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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