The graph shows a line in the coordinate plane, and the question likely requires determining the equation of the line. Let's go through the steps to find the equation.

1. Identify Points on the Line: From the image, the line passes through:

   • $(0, -1)$ (the y-intercept),
   • $(2, 1)$.

2. Calculate the Slope ($m$): The slope formula is: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Using points $(0, -1)$ and $(2, 1)$: $m = \frac{1 - (-1)}{2 - 0} = \frac{1 + 1}{2} = \frac{2}{2} = 1$

3. Form the Equation of the Line: The equation of a line in slope-intercept form is: $y = mx + b$ Since the slope $m = 1$ and the y-intercept $b = -1$, the equation is: $y = x - 1$

Final Answer:

The equation of the line is: $y = x - 1$

Would you like further details or have any questions?

Here are 5 questions related to this problem for deeper understanding:

1. What would the equation be if the slope were -1 instead?
2. How do you determine if two lines are parallel?
3. How would you find the equation if only the slope and one point were given?
4. What does the slope of a line tell us about its steepness?
5. How can you find the x-intercept of this line?

Tip: Remember that the y-intercept is the point where the line crosses the y-axis (where $x = 0$).