The correct answer is (B).
Getting to the Answer: Parallel lines in the standard (x, y) coordinate plane have the same slope. When expressed in slope-intercept form, y = mx + b, the slope is m. Convert the given equation into slope-intercept form. Subtract 8x from both sides of the equation, and then divide by 9:
9y=-8x+3
y=-8⁄9x+3⁄9
Therefore, the slope of any line parallel to 8x + 9y = 3 is -8⁄9.
(A) Incorrect: this does not divide both sides by 0
(B) Correct: this matches the correct calculation
(C) Incorrect: this divides the coefficient of x in the original equation (8) by the constant in the original equation (3)
(D) Incorrect: this is the value of 8x + 9y in the original equation
(E) Incorrect: this is the coefficient of x in the original equation