The equation of a line in slope-intercept form is given by:

\[
y = mx + b
\]

where:
- \(m\) is the slope of the line,
- \(b\) is the y-intercept.

In your case, the slope (\(m\)) is 1 and the y-intercept (\(b\)) is 0. Substituting these values into the formula, we get:

\[
y = 1x + 0
\]

This simplifies to:

\[
y = x
\]

This is the equation of the line with slope 1 and y-intercept 0.

Would you like more details or have any questions? Here are 5 related questions to explore:

1. What is the graphical representation of the line \(y = x\)?
2. How does changing the slope affect the graph of a line?
3. What happens to the graph if the y-intercept changes to a non-zero value?
4. How can we find the equation of a line if two points are given?
5. What is the relationship between slope and the steepness of a line?

**Tip:** The slope of a line indicates how steep the line is. A slope of 1 means the line rises at a 45-degree angle.

Explore the linear equation y = x, where the slope is 1 and the y-intercept is 0. This problem illustrates key concepts in linear algebra, including the slope-intercept form and the impact of slope on a line's steepness. Suitable for students in Grades 7-8.

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