Write y − 6x = 5 in slope-intercept form

To convert the equation \( y - 6x = 5 \) into 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 original equation:

\[ y - 6x = 5 \]

Add \( 6x \) to both sides:

\[ y = 6x + 5 \]

Now, the equation is in slope-intercept form.

Thus, the slope-intercept form of the equation is:

\[ y = 6x + 5 \]

Here, the slope \( m = 6 \) and the y-intercept \( b = 5 \).