Find the X and y intercepts from the table and describes the intercepts.
Answer to Problem 22PPS
The y − intercept is 4, this means Eva`s distance from home is 4 miles and the x − intercept is 8, this means after 8 min Eva reached home.
Explanation of Solution
Given:
Find the x – and y – intercepts of the graph of the linear equation. Describes the meaning of the intercepts. |
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, from the table look for the point where the value of y is 0.
In the table there is a point (8, 0) where the value y = 0
Find the y − intercept, from the table look for the point where the value of x is 0.
In the table there is a point (0, 4) where the value x = 0
The x − Intercept is 8 and the y − Intercept is 4.
y − intercept is 4, this means Eva`s distance from home is 4 miles.
x − intercept is 8, this means after 8 min Eva reached home.
Thus, the y − intercept is 4, this means Eva`s distance from home is 4 miles and the x − intercept is 8, this means after 8 min Eva reached home.
Chapter 3 Solutions
Algebra 1
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