The graph shows a straight line passing through two points. To find the equation of the line, we need to:

1. Identify the coordinates of two points on the line.
2. Use the slope-intercept form of a line equation: $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step 1: Identify Points

The two points on the line are approximately:

• Point 1: $(-5, 10)$
• Point 2: $(1, 0)$

Step 2: Calculate the Slope $m$

The slope $m$ is calculated as: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Using the points $(-5, 10)$ and $(1, 0)$: $m = \frac{0 - 10}{1 - (-5)} = \frac{-10}{6} = -\frac{5}{3}$

Step 3: Equation in Point-Slope Form

Using point-slope form of the equation, we substitute one point (let's use $(1, 0)$) and the slope: $y - y_1 = m(x - x_1)$ $y - 0 = -\frac{5}{3}(x - 1)$ $y = -\frac{5}{3}x + \frac{5}{3}$

This is the equation of the line. Let me know if you want more details or have any questions!

Here are some related questions:

1. How do we calculate the y-intercept from the equation of a line?
2. What is the difference between point-slope form and slope-intercept form?
3. Can we use other points on the graph to confirm the equation?
4. How do we interpret the slope in real-world situations?
5. What happens if the line is vertical or horizontal?

Tip: For any straight line, the slope is constant, which means any two points can be used to find the equation!