Concept explainers
Find the x and y intercepts from the graph and describes the meaning of the intercepts.
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:
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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Algebra 1
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