SOLUTION: 23. Determine which two equations represent perpendicular lines.
(a) y = 4/5x – 4
(b) y = 4x – 4/5
(c) y = -1/4x + 4/5
(d) y = 1/4x
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Question 27184: 23. Determine which two equations represent perpendicular lines.
(a) y = 4/5x – 4
(b) y = 4x – 4/5
(c) y = -1/4x + 4/5
(d) y = 1/4x
Answer by rodriguezh2(15) (Show Source): You can put this solution on YOUR website!
An equation of a line is usually given in y = mx + b format. m represents the slope of a line.
Remember that perpendicular lines have a negative reciprocal slope. An example of negative reciprocals are 2x and -(1/2)x.
We can say that (b) y = 4x - 4/5 and (c) y = (-) 1/4x + 4/5 are perpendicular lines. The slope of (b) is 4x and (c) is -1/4x which are negative reciprocals of each other.
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