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.