Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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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 3.1, Problem 21PPS
To determine

Find the x and y intercepts from the graph and describes the meaning of the intercepts.

Expert Solution & Answer
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Answer to Problem 21PPS

The y − Intercept is 20. This means initially the eagle is at height 20 ft.

The x − Intercept is 6. This means after 6 sec the height of the eagle is zero ft.

Explanation of Solution

Given:

    Algebra 1, Chapter 3.1, Problem 21PPS Find the x – and y – intercepts of the graph of the linear equation.

    Describe what the intercepts mean.

Concept Used:

The  x -intercepts are where the graph crosses the  x -axis, and the  y -intercepts are where the graph crosses the  y -axis.

Then, algebraically,

  • an  x -intercept is a point on the graph where  y  is zero, and
  • a  y -intercept is a point on the graph where  x  is zero.

More specifically,

  • an  x -intercept is a point in the equation where the  y -value is zero, and
  • a  y -intercept is a point in the equation where the  x -value is zero.

Calculation:

Find the x − intercept, look for the point where the line crosses the x − axis.

In the graph there is a point (6, 0) where the line ends at the x − axis,

Find the y − intercept, look for the point where the line crosses the y − axis.

In the graph there is a point (0, 20) where the line starts.

The x − Intercept is 6 and the y − Intercept is 20.

The y − Intercept is 20. This means initially the eagle is at height 20 ft.

The x − Intercept is 6. This means after 6 sec the eagle decent 20 ft means the height of the eagle is zero ft.

Thus, the y − Intercept is 20. This means initially the eagle is at height 20 ft and the x − Intercept is 6. This means after 6 sec the height of the eagle is zero ft.

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Chapter 3.1, Problem 20PPS
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Chapter 3.1, Problem 22PPS

Chapter 3 Solutions

Algebra 1

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