Math Problem Statement

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

Solution

The graph shows a straight line with both an x-intercept and a y-intercept.

  • The x-intercept is the point where the line crosses the x-axis (where y=0y = 0). From the graph, the line crosses the x-axis at (4,0)(-4, 0). Therefore, the x-intercept is 4-4.

  • The y-intercept is the point where the line crosses the y-axis (where x=0x = 0). From the graph, the line crosses the y-axis at (0,2)(0, 2). Therefore, the y-intercept is 22.

Thus:

  • (a) x-intercept: 4-4
  • (b) y-intercept: 22

Do you have any further questions or would you like more details?

Here are 5 related questions to expand on this:

  1. How do you calculate the slope of a line given two points on the graph?
  2. What is the equation of this line in slope-intercept form?
  3. Can a line have more than one x-intercept or y-intercept?
  4. How can you find the intercepts algebraically from an equation?
  5. How does changing the slope of the line affect the intercepts?

Tip: To find the intercepts of any line, set y=0y = 0 for the x-intercept and x=0x = 0 for the y-intercept.

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Coordinate Geometry

Formulas

x-intercept: set y = 0
y-intercept: set x = 0

Theorems

Intercept Theorem

Suitable Grade Level

Grades 6-8