Math Problem Statement

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

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

Solution

To solve for the x-intercept and y-intercept of the line:

  1. X-Intercept: The x-intercept is the point where the line crosses the x-axis, meaning y=0y = 0. From the graph, the line crosses the x-axis at x=3x = -3. So, the x-intercept is (3,0)(-3, 0).

  2. Y-Intercept: The y-intercept is the point where the line crosses the y-axis, meaning x=0x = 0. From the graph, the line crosses the y-axis at y=3y = 3. So, the y-intercept is (0,3)(0, 3).

Thus, the intercepts are:

  • (a) x-intercept:3\text{(a) x-intercept:} -3
  • (b) y-intercept:3\text{(b) y-intercept:} 3

Let me know if you want further details or have questions.

Here are 5 related questions to explore:

  1. What is the slope of this line?
  2. How do you find intercepts from an equation of a line?
  3. Can a line have more than one x-intercept or y-intercept?
  4. How does the slope affect the intercepts of a line?
  5. What is the equation of the line given the intercepts?

Tip: Remember, the x-intercept occurs where y=0y = 0, and the y-intercept occurs where x=0x = 0.

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Math Problem Analysis

Mathematical Concepts

Algebra
Coordinate Geometry
Linear Equations

Formulas

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

Theorems

Intercept Theorem

Suitable Grade Level

Grades 6-8