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The line equation in slope-intercept form is
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where m is the slope and b is the y-intercept.
Find the y-intercept value by replacing m with 3, y with -2\\
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and x with 5 in the equation
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(Simplify)
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(Subtract 15 from each side)
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(Simplify)
(Simplify)

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Replace m with 3 and b with -17 in the equation
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(Simplify)

The slope-intercept form line equation is
.