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!