Slope: Slope of any line is the characteristic feature of the line that gives us the direction of the line. Slope is also defined as the rate change of its coordinate axes. That is if we take y as dependent variable and x as independent variable then the slope will define how x−axis will change for all input values of x . However, these input values of x are known as the Domain of the function representing the line.
For the given Diagram:
We have a Horizontal line suppose L1 . It means for every value taken on x−axis , there is a fixed value of y .
Such that:
y=3 is the equation of the given line L1 .
The value 3 is taken because of the unit length described on the given graph is One unit. And the given line is at a distance of 3 units apart from the origin. Which is also clearly been observed from the graph as well.
College Algebra with Modeling & Visualization (5th Edition)
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