Rewrite the following equation in slope-intercept form. \[ +6=\frac{1}{8}(x-8) \] Write your answer using integers, proper fractions, and improper fractions in simplest form. Save answer

To rewrite the equation \( +6 = \frac{1}{8}(x - 8) \) in slope-intercept form, we need to isolate \( y \) on one side of the equation. 1. Start with the given equation: \[ 6 = \frac{1}{8}(x - 8) \] 2. Distribute \(\frac{1}{8}\) on the right side: \[ 6 = \frac{1}{8}x - 1 \] 3. Add \( 1 \) to both sides to isolate the term with \( x \): \[ 6 + 1 = \frac{1}{8}x \] \[ 7 = \frac{1}{8}x \] 4. To solve for \( x \), multiply both sides by \( 8 \): \[ 8 \cdot 7 = x \] \[ 56 = x \] 5. Now, we can express this in slope-intercept form \( y = mx + b \). Since we have \( x = 56 \), we can rewrite it as: \[ y = 0x + 56 \] Thus, the equation in slope-intercept form is: \[ y = 0x + 56 \] This indicates that the slope \( m = 0 \) and the y-intercept \( b = 56 \). Final answer: \[ y = 56 \]