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 y=0y = 0.
  • The y-intercept occurs when x=0x = 0.

From the table:

xy
-2-4
02
28
414
620
  • There is no x-intercept because none of the y-values are 0.
  • The y-intercept occurs at (0,2)(0, 2) because when x=0x = 0, y=2y = 2.

Final answer:

  • x-intercept: none
  • y-intercept: (0,2)(0, 2)

Would you like further details on how to find intercepts?

Here are 5 related questions you might find useful:

  1. How can you graph the function from this table of values?
  2. What is the slope of the line passing through these points?
  3. How do intercepts relate to the equation of a line?
  4. Can you calculate the equation of the line from these points?
  5. 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