To write the inequality \( 17x + y < 2 \) in slope-intercept form (which is \( y < mx + b \)), we follow these steps:
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Isolate \( y \) on one side of the inequality.
\[ y < 2 - 17x \]
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Rearrange the terms to fit the slope-intercept format:
\[ y < -17x + 2 \]
Thus, the inequality in slope-intercept form is:
\[ y < -17x + 2 \]