The task in your image is asking to find the equation of the line displayed on the graph. Based on the grid shown in the image, I can help guide you through the process to determine the correct equation of the line. Here's a general approach:

Step 1: Identify two points on the line.

From the graph:

• One point appears to be $(0, 5)$ (where the line crosses the y-axis).
• Another point seems to be $(4, 0)$ (where the line crosses the x-axis).

Step 2: Calculate the slope.

The slope $m$ of a line is given by the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Using the points $(0, 5)$ and $(4, 0)$:

• $x_1 = 0, y_1 = 5$
• $x_2 = 4, y_2 = 0$

Now calculate the slope:

$m = \frac{0 - 5}{4 - 0} = \frac{-5}{4}$

So, the slope is $m = -\frac{5}{4}$.

Step 3: Use the slope-intercept form of the equation.

The slope-intercept form is:

$y = mx + b$

You already know the slope $m = -\frac{5}{4}$ and the y-intercept $b = 5$ (from the point $(0, 5)$).

Thus, the equation of the line is:

$y = -\frac{5}{4}x + 5$

This is the equation of the line on the graph.

Would you like more details or further clarification?

Here are five related questions you might explore:

1. How can we determine the equation if the line doesn't cross the y-axis?
2. What is the point-slope form of the equation of a line?
3. How do you convert between slope-intercept form and standard form?
4. What happens if the line is vertical or horizontal? How do their equations differ?
5. How can you find the equation of a line given its slope and one point?

Tip: Always start by finding two clear points on the line, as these will help you accurately determine the slope and y-intercept!