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What is the slope of a line perpendicular to the line y = 2x + 5?

A. 1/2
B. -2
C. 2
D. -1/2

1 Answer

4 votes

Answer: A

Step-by-step explanation: You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.

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