-2x + 3y = 6 In the xy-plane, the graph of which of the following
equations is perpendicular to the graph of the
equation above?
A) 3x + 2y = 6
B) 3x + 4y = 6
C) 2x + 4y = 6
D) 2x + 6y = 3

The answer is A.

Explanation:

The perpendicular equation has a slope of the negative reciprocal. If we put the equation in slope-intercept form (y=mx+b), we can see the given equation's slope is 2/3. Therefore, the reciprocal must have a slope of -3/2 in slope intercept form (y= -3/2x+b).

Multiplying both sides of the equation by 2 to cancel the denominator, we have 2y = -3x +b. Then, move the -3 to the left side of the equation making the value positive, and we have 2y +3x = b. Therefore, A is the correct answer.

answer:

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explanation: