Math Problem Statement

Find the intercepts of the equation -x-3y=18-x-3y=18

Solution

It looks like there might be a typo in the equation you've provided, as it appears to repeat itself. I'll assume you meant to write the equation as x3y=18-x - 3y = 18. If that's correct, I can help you find the intercepts.

1. Finding the x-intercept:

To find the x-intercept, set y=0y = 0 in the equation and solve for xx:

x3(0)=18-x - 3(0) = 18

x=18x=18-x = 18 \quad \Rightarrow \quad x = -18

So, the x-intercept is (18,0)(-18, 0).

2. Finding the y-intercept:

To find the y-intercept, set x=0x = 0 in the equation and solve for yy:

(0)3y=18-(0) - 3y = 18

3y=18y=6-3y = 18 \quad \Rightarrow \quad y = -6

So, the y-intercept is (0,6)(0, -6).

Final Answer:

  • The x-intercept is (18,0)(-18, 0).
  • The y-intercept is (0,6)(0, -6).

Would you like a detailed explanation of how these intercepts were found or have any other questions?

Here are 5 related questions:

  1. How do you find the intercepts of a quadratic equation?
  2. What do the intercepts represent in the graph of a function?
  3. How would the intercepts change if the equation was x+3y=18x + 3y = -18?
  4. How can intercepts be used to graph a linear equation?
  5. What is the significance of the slope in a linear equation like this?

Tip: When finding intercepts, remember to set the other variable to zero and solve for the remaining variable.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Intercepts

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9