o graph a line in standard form, we are going to use our x and y intercepts.

`x-3y=6`

To get the equation for the x intercept, we substitute `y=0`, which eliminates the y term in the equation.  Write the equation that would be used to find the x intercept.

To find the x-intercept, you substitute \( y = 0 \) into the equation \( x - 3y = 6 \). This eliminates the \( y \)-term, and the equation becomes:

\[
x = 6
\]

Thus, the equation to find the x-intercept is \( x = 6 \).

Would you like me to solve for the y-intercept or go into further details? 

Here are 5 questions related to this topic:
1. How do you find the y-intercept of the same equation?
2. What is the slope of the line represented by \( x - 3y = 6 \)?
3. Can you rewrite \( x - 3y = 6 \) in slope-intercept form?
4. How would the graph of this equation look if the equation was \( x + 3y = 6 \)?
5. What is the significance of the intercepts when graphing a line?

**Tip:** The x-intercept represents the point where the graph crosses the x-axis, so the y-coordinate at that point is always zero.

To graph a line in standard form, we are going to use our x and y intercepts. x - 3y = 6. To get the equation for the x intercept, we substitute y = 0, which eliminates the y term in the equation. Write the equation that would be used to find the x intercept.

Learn how to graph a line by finding the x and y intercepts for the equation x - 3y = 6. This problem demonstrates how to use the standard form of a linear equation to find intercepts, a key skill in algebra for Grades 7-9.

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