Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
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Chapter 3.1, Problem 6CYU
To determine

Find the X and y intercepts from the table and describes the meaning of the intercepts.

Expert Solution & Answer
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Answer to Problem 6CYU

The y − Intercept is − 24. This means initially the scuba driver is in − 24 meter below the sea level.

The x − Intercept is 12. This means after 12 seconds the scuba driver is on the sea level.

Explanation of Solution

Given:

    Algebra 1, Chapter 3.1, Problem 6CYU 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 value of y is 0.

In the table there is a point (12, 0) where the value y = 0

Find the y − intercept, look for the point where the value of x is 0.

In the table there is a point (0, − 24) where the value x = 0

The x − Intercept is 12 and the y − Intercept is − 24.

The y − Intercept is − 24. This means initially the scuba driver is in − 24 meter below the sea level.

The x − Intercept is 12. This means after 12 seconds the scuba driver is on the sea level.

Thus, the y − Intercept is − 24. This means initially the scuba driver is in − 24 meter below the sea level. The x − Intercept is 12. This means after 12 seconds the scuba driver is on the sea level.

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Chapter 3 Solutions

Algebra 1

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