Concept explainers
Find the X and y intercepts from the table and describes the meaning of the intercepts.
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:
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.
Chapter 3 Solutions
Algebra 1
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