To write the equation \( y - 6x = 5 \) in slope-intercept form \( y = mx + b \), 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 \( y \):
\[ y = 6x + 5 \]
The equation in slope-intercept form is:
\[ y = 6x + 5 \]
Here, the slope \( m \) is 6 and the y-intercept \( b \) is 5.