Consider the linear equation y = (-)3x + 3. Find the coordinates for the x-intercept.

To find the x-intercept of the linear equation \( y = -3x + 3 \), we need to set \( y = 0 \) because the x-intercept occurs where the line crosses the x-axis, which is when \( y = 0 \).

Start with the equation:

\[
0 = -3x + 3
\]

Now, solve for \( x \):

\[
3x = 3
\]

\[
x = 1
\]

Thus, the x-intercept is at \( (1, 0) \).

Would you like any more details or have any questions about this?

Here are five related questions you might explore:
1. How do you find the y-intercept of the same equation?
2. What is the slope of the line in the equation \( y = -3x + 3 \)?
3. Can you graph the equation \( y = -3x + 3 \)?
4. How does the slope influence the steepness of the line?
5. What is the general form of a linear equation?

**Tip:** The x-intercept is always found by setting \( y = 0 \) and solving for \( x \).

Learn how to find the x-intercept of the linear equation y = -3x + 3 by solving for x when y = 0. This step-by-step guide explains the key algebraic concepts and theorems involved, perfect for students in Grades 6-8.

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