https://file.aiquickdraw.com/mathbot/file/1728330570772eh9as33i.jpg

The equation given in the image is:

\[
y = x + 3
\]

This equation is in the slope-intercept form, which is generally written as:

\[
y = mx + b
\]

Where:
- \(m\) is the slope of the line.
- \(b\) is the y-intercept (the value of \(y\) when \(x = 0\)).

From the given equation:
- The slope (\(m\)) is the coefficient of \(x\), which is \(1\).
- The y-intercept (\(b\)) is \(3\), as it is the constant term.

### Answer:
- **Slope**: 1
- **y-intercept**: 3

Do you have any questions or need further details?

### Follow-up questions:
1. How do you find the slope if the equation is not in slope-intercept form?
2. What does a negative slope represent?
3. How do you graph a line using the slope and y-intercept?
4. What if the equation has no \(x\)-term? What would be the slope?
5. How can you convert a standard form equation to slope-intercept form?

**Tip**: Always look for the coefficient of \(x\) to determine the slope when using the slope-intercept form of a line equation!

Find the slope and the y-intercept of the line: y = x + 3

Learn how to find the slope and y-intercept of the linear equation y = x + 3 using the slope-intercept form. This problem covers key concepts of linear algebra, ideal for students in Grades 8-10.

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