Concept explainers
To explain: If all straight lines are linear functions.
Answer to Problem 32HP
Yes, all straight lines are linear function as the equation of any straight line can be written in form y=mx+c that always represents a linear function as its degree is one. In this equation, m is the slope of given straight line and c is its y intersect.
Explanation of Solution
Given information: Definition of a linear function and a straight line.
Formula/Concept used: A straight line is the locus of a moving point that moves in such a way, so that the line segment joining any two points on it completely lies on it. Also a linear function is always a first degree equation that can be written as y=mx+c and this equation always used to represents a straight line.
Calculation: In above given equation, m is the slope of the line and c is the y intercept of the line, that is represented by this equation.
Conclusion: Thus, by above concept, it is cleared that straight line is always a linear function of degree one.
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