What is the slope of a line that is perpendicular to the line 2 y minus 3 x is equal to 8 ?

Rewrite the equation 2y − 3x = 8 in slope-intercept form: 2y = 3x + 8, so y = (3/2)x + 4. The line’s slope is 3/2, and a perpendicular line has the negative reciprocal slope, −2/3. Therefore, the correct choice is negative 2 thirds.

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