Math Problem Statement

which are the x and y intercepts for teh given linear equation

Solution

To find the x-intercept and y-intercept of a linear equation, you need the equation in the form y=mx+by = mx + b or any standard linear form like ax+by=cax + by = c.

Here’s how you find them:

  1. X-Intercept: The point where the line crosses the x-axis (y=0y = 0).

    • Set y=0y = 0 in the equation and solve for xx.
  2. Y-Intercept: The point where the line crosses the y-axis (x=0x = 0).

    • Set x=0x = 0 in the equation and solve for yy.

If you provide the specific equation, I can calculate the intercepts for you! Please share it either as text or upload a photo of the equation.


Would you like to proceed with an example or upload your equation?

Here are 5 related questions:

  1. What do the intercepts of a line represent in a real-world context?
  2. How can you verify the intercepts using a graph?
  3. What happens if a line doesn’t cross either the x-axis or the y-axis?
  4. How are intercepts used to sketch a quick graph of a line?
  5. How do x- and y-intercepts change if you transform the equation of a line?

Tip: Always check if the equation is in a simplified form before finding intercepts.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Intercepts

Formulas

x-intercept: Set y = 0 and solve for x
y-intercept: Set x = 0 and solve for y

Theorems

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Suitable Grade Level

Grades 6-8