To solve the equation \( 4x - y - 6 = 0 \), we can rearrange it in different forms depending on what you need:

### Solve for \( y \) (slope-intercept form):
Rearrange the equation to solve for \( y \) in terms of \( x \):

\[
4x - y - 6 = 0
\]

Add \( y \) to both sides:

\[
4x - 6 = y
\]

Or, rewritten:

\[
y = 4x - 6
\]

This is the slope-intercept form, where the slope is \( 4 \) and the y-intercept is \( -6 \).

Would you like any additional details or have any questions?

Here are five related questions:
1. What is the slope and y-intercept of the line \( y = 4x - 6 \)?
2. How do you graph the line \( y = 4x - 6 \)?
3. How would you find the x-intercept of the equation \( 4x - y - 6 = 0 \)?
4. Can you rewrite \( 4x - y - 6 = 0 \) in standard form?
5. What is the equation of a line parallel to \( y = 4x - 6 \)?

**Tip:** When rearranging an equation, always aim to isolate the variable of interest step by step.

Learn how to solve and graph the linear equation 4x - y - 6 = 0. This detailed guide explains how to convert the equation to slope-intercept form, find the slope and y-intercept, and graph the line. Suitable for students in Grades 8-10 studying linear equations in algebra.

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