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

$y = mx + b$

Where:

• $m$ is the slope
• $b$ is the y-intercept

From the information in the image:

• The slope $m = -\frac{1}{2}$
• The y-intercept $b = 3$

Now, we can substitute these values into the slope-intercept form:

$y = -\frac{1}{2}x + 3$

This is the equation of the line in slope-intercept form.

Would you like more details on how this equation is derived?

Here are 5 questions related to this topic:

1. How do you find the slope if you are given two points on a line?
2. What is the general form of a linear equation, and how does it differ from slope-intercept form?
3. How can you graph the equation $y = -\frac{1}{2}x + 3$?
4. How would the equation change if the slope were positive instead of negative?
5. What happens to the graph of a line when the y-intercept changes?

Tip: To easily graph a line from its equation in slope-intercept form, start by plotting the y-intercept, then use the slope to determine the direction and steepness of the line.