To determine which equation best represents the line on this graph, we need to identify the slope and y-intercept of the line and then check which equation in the answer choices matches it in standard form (Ax + By = C).

Step 1: Determine Two Points on the Line

The line crosses at two clear points:

1. (-4, 10)
2. (4, -1)

Step 2: Calculate the Slope

The slope $m$ can be calculated by: $m = \frac{{y_2 - y_1}}{{x_2 - x_1}} = \frac{{-1 - 10}}{{4 - (-4)}} = \frac{{-11}}{{8}}$

So, the slope $m = -\frac{11}{8}$.

Step 3: Find the Equation in Point-Slope Form

Using the point-slope form, $y - y_1 = m(x - x_1)$, with point $(-4, 10)$: $y - 10 = -\frac{11}{8}(x + 4)$

Expanding this equation: $y - 10 = -\frac{11}{8}x - \frac{44}{8}$ $y = -\frac{11}{8}x + \frac{20}{8} = -\frac{11}{8}x + 2.5$

Step 4: Convert to Standard Form

To match the options, we convert $y = -\frac{11}{8}x + 2.5$ to standard form by eliminating the fractions: \