Math Problem Statement
What are the x and y intercepts? Write them as ordered pairs (x, y).
Solution
To find the x-intercept and y-intercept from the table, we look for:
- The x-intercept occurs when .
- The y-intercept occurs when .
From the table:
x | y |
---|---|
-2 | -4 |
0 | 2 |
2 | 8 |
4 | 14 |
6 | 20 |
- There is no x-intercept because none of the y-values are 0.
- The y-intercept occurs at because when , .
Final answer:
- x-intercept: none
- y-intercept:
Would you like further details on how to find intercepts?
Here are 5 related questions you might find useful:
- How can you graph the function from this table of values?
- What is the slope of the line passing through these points?
- How do intercepts relate to the equation of a line?
- Can you calculate the equation of the line from these points?
- What would the x-intercept be if the y-values were slightly different?
Tip: The y-intercept is often useful in determining the starting point of a line on a graph.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Intercepts
Coordinate Geometry
Formulas
x-intercept: y = 0
y-intercept: x = 0
Theorems
Linear equation intercepts
Suitable Grade Level
Grades 6-8