Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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Concept explainers

Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
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Question
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Chapter 3.2, Problem 57PFA
To determine

To find: Slope of the linear function, if its x and y intercept are equal to a same number.

Expert Solution & Answer
Check Mark

Answer to Problem 57PFA

Slope of the linear function is −1 .

Explanation of Solution

Given information: The x intercept and y intercept of a linear function are each equal to the same nonzero number.

Formula/Concept used: As the x and y intercepts are same, let x intercept be (a,0) and y intercept be (0,a) . And slope of a line, from any two points (x1,y1) and (x2,y2) , is calculated using the formula :

Slope of the line =Difference between two y coordinatesDifference between two x coordinatesh

  =y2−y1x2−x1

Calculation: So, slope of the line passing from two above points,

  =a−00−a=−aa=−1

Conclusion: So, the slope of such line that’s x and y intercepts are same, is −1 .

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Chapter 3.2, Problem 56PFA
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Chapter 3.2, Problem 58PFA

Chapter 3 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. 3.1 - Prob. 1AGPCh. 3.1 - Prob. 1BGPCh. 3.1 - Prob. 2GPCh. 3.1 - Prob. 3GPCh. 3.1 - Prob. 4AGPCh. 3.1 - Prob. 4BGPCh. 3.1 - Prob. 5AGPCh. 3.1 - Prob. 5BGPCh. 3.1 - Prob. 5CGPCh. 3.1 - Prob. 1CYU
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