- - - -_3y_+12x_=_5_. - -_Line_n -_is ~ ℓ Line is defined by ℓ perpendicular to line in the xy-plane. What is the slope of line n?
Correct answer: 4 (parsed from the explanation — this source omits an answer key for this item)
Explanation
1 = + The correct answer is 4. For an equation in slope-intercept form y mx b, m represents the slope of the line in the xy-plane defined by this equation. It’s given , 3 +12 =5 12 that line is defined by y x . Subtracting x from both sides of this 3 =-12 +5 equation yields y x . Dividing both sides of this equation by 3 yields =- 12 + 5 =-4 + 5 , - y 3x 3, or y x 3. Thus, the slope of line in the xy-plane is 4. , Since line n is perpendicular to line in the xy-plane, the slope of line n is the , - negative reciprocal of the slope of line . The negative reciprocal of 4 is 1 1 - = -4 4. Note that 1/4 and .25 are examples of ways to enter a correct answer. ^ h
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