Math Problem Statement

Find the x- and y-intercepts of the line. Enter each answer as an ordered pair.

Solution

To solve the problem in the image and find the x-intercept and y-intercept of the line, let's analyze the graph:

  1. x-intercept: The point where the line crosses the x-axis. At this point, the value of y is 0. From the graph, we can see that the line crosses the x-axis at (10, 0). So, the x-intercept is (10, 0).

  2. y-intercept: The point where the line crosses the y-axis. At this point, the value of x is 0. From the graph, we can see that the line crosses the y-axis at (0, 10). So, the y-intercept is (0, 10).

Would you like further details or explanations?

Here are 5 related questions that might help you expand your understanding:

  1. How do you calculate intercepts algebraically if you have the equation of a line?
  2. How can you derive the equation of the line from two points?
  3. What is the slope of the line based on the intercepts?
  4. What are the standard forms of linear equations, and how do they relate to intercepts?
  5. How do transformations affect the intercepts of a line?

Tip: When finding intercepts, always look for where the line crosses the respective axes, as these are key points that simplify further calculations.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Graphing
Intercepts

Formulas

x-intercept: Set y = 0
y-intercept: Set x = 0

Theorems

Intercept Theorem
Linear Equation

Suitable Grade Level

Grades 7-9