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

Algebra ->  Graphs -> 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       Log On


   

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) About Me  (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.