The equation provided in the image is:

$y = -\frac{1}{2}x + 4$

This is a linear equation in slope-intercept form, where:

• The slope $m$ is $-\frac{1}{2}$,
• The y-intercept $b$ is 4.

Steps to plot the graph:

1. Plot the y-intercept:

   • The y-intercept occurs when $x = 0$, so plot the point $(0, 4)$. This means that one of the points should be at $(0, 4)$.

2. Use the slope to find a second point:

   • The slope is $-\frac{1}{2}$, meaning for every 2 units you move to the right (positive $x$-direction), you move 1 unit down (negative $y$-direction).
   • Starting from $(0, 4)$, move 2 units to the right, arriving at $x = 2$, and 1 unit down, arriving at $y = 3$. The second point is $(2, 3)$.

3. Connect the points:

   • Use the blue highlighter to draw a straight line connecting $(0, 4)$ and $(2, 3)$.

If you'd like more details on graphing linear equations or need further clarification, feel free to ask!

Related Questions:

1. How do you graph a line with a positive slope?
2. What happens to the graph when you change the slope to $\frac{1}{2}$?
3. How do you find the x-intercept of a linear equation?
4. Can you explain how the slope affects the steepness of the line?
5. What would happen if the y-intercept was negative?

Tip: Always start graphing a line by plotting the y-intercept first, then use the slope to determine other points.