Concept explainers
Whether the pair of equations is perpendicular, parallel or neither for equations
Answer to Problem 36PPS
The pair of equations is neither perpendicular nor parallel.
Explanation of Solution
Given:
The Pair of equations are
Calculation:
Standard equation of slope intercept form is expressed as follows:
Here, m is slope and c stands for y -intercept.
For equation
On comparison with standard equation, the slope for equation (1) is
Separate the y term of the second equation for the slope-intercept form as follows:
On comparison with standard equation, the slope for equation (2) is
Any pair of lines is perpendicular if their multiplication of slopes is -1.
Multiply the slopes of equations (1) and (2) as follows:
Thus, the lines are not perpendicular.
For parallel condition,
Coefficient ratio must be
For equation (1)
Thus, the equation is not parallel. The graph for both the equations is shown below:
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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