Concept explainers
whether the graphs of the two equations are parallel, perpendicular, or neither.
Answer to Problem 29CR
The lines
Explanation of Solution
Given information: The two equations are
Consider the equation
This equation can be written as
This equation is in slope intercept form
So,
Slope of the line
Now consider the equation
First convert this equation in slope intercept form.
So,
Compare this equation with
So, slope of the line
Therefore,
Slope of the line
And
Slope of the line
Use the fact that two lines are said to be parallel if their slopes are equal.
Two lines are perpendicular if product of slopes of both the lines is
Here,
So, the lines
Also,
So, the lines are not parallel.
Therefore,
The lines
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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