Concept explainers
To explain: Relation between rate of change and the slope and also how to find the slope of a line.
Answer to Problem 51HP
Rate of change and slope of a line are same terms as both produce the unit rate. Also, the slope of a line, passing from two points
Slope of the line
Explanation of Solution
Given information: Definitions of rate of change and the slope of any line.
Formula/Concept used: Rate of change is actually rate per unit is value of one quantity and thus is actually the slope of the line that will be formed on joining these given dots. And slope of a line, from any two points, is calculated using the formula:
Unit rate = Slope of the line
,where slope of a line is the tangent of the angle that the line forms with positive direction of x axis.
Calculation: Slope of a line, passing from two points
Conclusion: So, rate of change is same that of the slope of any line. And slope of any line is calculated using above formula of finding the slope.
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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