Math Problem Statement

Identify the intercepts from the graph.

Solution

The graph shows a straight line, and the task is to identify the intercepts. Let's analyze it:

1. Y-intercept:

The y-intercept is where the line crosses the y-axis. From the image, the line crosses the y-axis at y=4y = 4. So, the y-intercept is: (0,4)(0, 4)

2. X-intercept:

The x-intercept is where the line crosses the x-axis. From the image, the line crosses the x-axis at x=3x = 3. So, the x-intercept is: (3,0)(3, 0)

Would you like more details about how to find intercepts algebraically, or do you have any other questions?

Here are 5 related questions you might find useful:

  1. How do you find the equation of a line from two points on a graph?
  2. What is the slope of the line in the image, and how is it calculated?
  3. Can a line have more than one x- or y-intercept?
  4. How do you use intercepts to graph a line quickly?
  5. What does the slope of the line tell you about its direction?

Tip: When finding intercepts, substitute x=0x = 0 for the y-intercept and y=0y = 0 for the x-intercept in the equation of the line.

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Coordinate Geometry

Formulas

To find the x-intercept, set y = 0
To find the y-intercept, set x = 0

Theorems

Intercept Theorem

Suitable Grade Level

Grades 6-8