ACT Question for January 18th

What is the slope of any line parallel to the line 8x + 9y = 3 in the standard (x, y) coordinate plane?

A) -8

B) -8/9

C) 8 3

D) 3

E) 8

CORRECT

INCORRECT

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

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ACT Question for January 18th

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