\"\"\"\"

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First find the slope of the line \"\".

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\"\"               (Subtract 3x from each side) \ \

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\"\"                           (Apply additive inverse property: \"\")

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\"\"          (Multiply each side by negative 5) \ \

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\"\"                             (Simplify) \ \

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The line in slope-intercept form y = mx + b, where m is slope and b is y-intercept.

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Compare the equation with slope-intercept form and find the slope of the line.

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= 15.

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\"\"

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If two lines are perpendicular, the slope (m1) of one line is opposite reciprocal of the second line slope (m2). It can be represented as, \"\".

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Slope of the line perpendicular to given line is \"\"

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So, slope of the new line = \"\".\"\"

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The line equation in slope-intercept form is \"\", where m is the slope and b is the y-intercept.

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First find the y-intercept value.

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\"\"                    (Substitute \"\" for m)

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\"\"              (Substitute 6, -5 for x, y)

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\"\"                     (Multiply: \"\")

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\"\"      (Add \"\" to each side)

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\"\"                        (Apply additive inverse property: \"\")

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\"\"                           (Add: \"\") \"\"

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Substitute \"\" for m and \"\" for b in the Slope-intercept form line equation.

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\"\"                                         \"\"

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The line equation in slope-intercept form is \"\".