To Reason: One line's slope is the negative reciprocal of another line's slope in a system of linear equations. Explain whether it is Independency, dependency, or inconsistency.
The Solution is independent.
Given information:
One line's slope is the negative reciprocal of another line's slope in a system of linear equations.
Explanation:
Lines that are perpendicular to each other have slopes that are the negative reciprocals of each other's slopes.
There is only one point at which they intersect in this case. As a result, the system of equations represents the independent system.
Here is an example to illustrate the point. Here are some equations to consider
Graph the equations:
Thus, one line's slope is the negative reciprocal of another line's slope in a system of linear equations is independent.
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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