A given line has the equation 2 x plus 12 y is equal to negative 1 What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point open paren 0 comma 9 close paren ?

Rewrite the given equation in slope-intercept form: 12y = -2x - 1, so y = -(1/6)x - 1/12. Its slope is -1/6, so a perpendicular line has slope 6, the negative reciprocal. Since the line passes through (0, 9), its y-intercept is 9, giving y = 6x + 9, choice B.

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