Math Problem Statement

Find the y-intercept and the x-intercept of the line below. Click on 'None' if applicable.

Solution

The image shows a linear graph, and the task is to find the y-intercept and the x-intercept of the line.

  1. y-intercept: The y-intercept is where the line crosses the y-axis. From the graph, the line crosses the y-axis at y=2y = 2. So, the y-intercept is (0,2)(0, 2).

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

Would you like more details or have any questions?

Here are five related questions to consider:

  1. How do you calculate the slope of this line?
  2. What is the equation of the line in slope-intercept form?
  3. Can you find the slope using two points from the graph?
  4. How does the graph change if the slope is steeper or shallower?
  5. How do you find intercepts algebraically from the equation of a line?

Tip: The y-intercept is always found by setting x=0x = 0, and the x-intercept is found by setting y=0y = 0.

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Intercepts

Formulas

The y-intercept is found where x = 0
The x-intercept is found where y = 0

Theorems

Intercept Theorem

Suitable Grade Level

Grades 7-9