Concept explainers
Determine which of the lines ,if any parallel or perpendicular.
Answer to Problem 7CR
Line a and line c is parallel to each other and both are perpendicular to line b.
Explanation of Solution
Given information:
Line a :
Line b :
Line c :
Calculation:
Formula :
In general slope intercept equation of a lineis,
where
Finding
Slope of line a:
So the slope of line a is
Slope of line b:
So the slope of line a is
Slope of line c :
So the slope of line cis
So,
Since the slope of line a is equal to the slope of line c so the line a is parallel to line c because all parallel line have same slope .
Since the slope of two perpendicular lines is negative reciprocal to each other so, line a is perpendicular to line b and line c is also perpendicular to line b because −(2/7) is negative reciprocal to 7/2.
Line a and line c is parallel to each other and both are perpendicular to line b.
Chapter 4 Solutions
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