Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 3.1, Problem 5CYU
To determine
Find the X and y intercepts from the graph and describes the meaning of the intercepts.
Expert Solution & Answer
Answer to Problem 5CYU
The y − Intercept is − 4. This means the initial temperature is − 4 deg F.
The x − Intercept is 25. This means after 25 minutes the temperature rises to 0 deg F.
Explanation of Solution
Given:
 | 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 (25, 0 ) where the line crosses 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, − 4 ) where the line starts .
The x − Intercept is 25 and the y − Intercept is − 4.
The y − Intercept is − 4. This means the initial temperature is − 4 deg F.
The x − Intercept is 25. This means after 25 minutes the temperature rises to 0 deg F.
Thus, the y − Intercept is − 4. This means the initial temperature is − 4 deg F and the x − Intercept is 25. This means after 25 minutes the temperature rises to 0 deg F.
Chapter 3 Solutions
Algebra 1
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