The line $$ 8 x-4 y=7 $$ correctly written in slope-intercept form is a.) $$ y=2 x=\frac{7}{4} $$ b.) $$ y=-2 x+\frac{7}{4} $$ c.) $$ y=-\frac{4}{8} x+\frac{7}{8} $$ d.) $$ y=\frac{1}{2} x-\frac{7}{8} $$

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To convert the line $$ 8x - 4y = 7 $$ into slope-intercept form ($$ y = mx + b $$), follow these steps:

1. **Isolate the $$ y $$-term:**
   $$
   8x - 4y = 7 \quad \Rightarrow \quad -4y = -8x + 7
   $$

2. **Divide every term by -4 to solve for $$ y $$:**
   $$
   y = \frac{-8x + 7}{-4} = 2x - \frac{7}{4}
   $$

So, the slope-intercept form of the equation is:
$$
y = 2x - \frac{7}{4}
$$

**Reviewing the Options:**

a.) $$ y = 2x = \frac{7}{4} $$  
This option appears to have a typographical error with two equals signs. If it's intended to be $$ y = 2x - \frac{7}{4} $$, then it is correct.

b.) $$ y = -2x + \frac{7}{4} $$  
Incorrect slope.

c.) $$ y = -\frac{4}{8}x + \frac{7}{8} $$  
Simplifies to $$ y = -0.5x + 0.875 $$, which is incorrect.

d.) $$ y = \frac{1}{2}x - \frac{7}{8} $$  
Incorrect slope and intercept.

**Conclusion:**
Assuming that option **a.)** contains a typographical error and is intended to be $$ y = 2x - \frac{7}{4} $$, it is the correct form.

**Answer:**  
**a.) $$ y=2 x -\frac{7}{4} $$**
The correct slope-intercept form is $$ y = 2x - \frac{7}{4} $$.

The line \( 8 x-4 y=7 \) correctly written in slope-intercept form is a.) \( y=2 x=\frac{7}{4} \) b.) \( y=-2 x+\frac{7}{4} \) c.) \( y=-\frac{4}{8} x+\frac{7}{8} \) d.) \( y=\frac{1}{2} x-\frac{7}{8} \)

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