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), follow these steps:
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Start with the original equation: \[ y - 6x = 5 \]
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Add \( 6x \) to both sides to isolate \( y \): \[ y = 6x + 5 \]
Now, the equation is in slope-intercept form.
So, the final answer is: \[ y = 6x + 5 \]