https://file.aiquickdraw.com/mathbot/file/1730335316759or00636s.jpg

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:
\

Which equation in standard form best represents the graph?

Identify the best equation in standard form that represents the graphed line using points and slope calculations. This exercise covers linear equations and standard form concepts suitable for students in Grades 8-10.

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