To write the equation \( y - 6x = 5 \) in slope-intercept form (which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept), we need to solve for \( y \).
Starting with the given equation:
\[ y - 6x = 5 \]
Add \( 6x \) to both sides:
\[ y = 6x + 5 \]
Now the equation is in slope-intercept form, where the slope \( m \) is 6 and the y-intercept \( b \) is 5.
Thus, the slope-intercept form of the equation is:
\[ y = 6x + 5 \]