To determine which equation describes the line, we need to figure out the slope and use the point-slope form of the equation of a line.

Steps to solve:

1. Identify two points on the line:

   • The points given in the graph are: $(-3, 2)$ and $(1, 10)$.

2. Calculate the slope $m$: $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{1 - (-3)} = \frac{8}{4} = 2$ The slope is $2$.

3. Use point-slope form: The point-slope form of the equation is: $y - y_1 = m(x - x_1)$ Using the point $(1, 10)$: $y - 10 = 2(x - 1)$ This matches option D.

Therefore, the correct equation is D: $y - 10 = 2(x - 1)$.

Would you like more details on this or have any other questions?

Here are 5 related questions you might find helpful:

1. How do you derive the equation of a line from two points?
2. What is the difference between slope-intercept form and point-slope form?
3. How do you convert from point-slope form to slope-intercept form?
4. How do you find the y-intercept of a line given two points?
5. How can you find the slope of a line if given its equation in general form?

Tip: When working with line equations, always check if the form you're using matches the available information (points, slope, etc.) to avoid mistakes.