SOLUTION: Determine which two equations represent perpendicular lines. y=4/9x-5 y =5x-4/9 y= -1/5x +4/9 Y=1/5x-4/9

Algebra.Com
Question 120668: Determine which two equations represent perpendicular lines.
y=4/9x-5
y =5x-4/9
y= -1/5x +4/9
Y=1/5x-4/9

Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
With perpendicular lines, the slope of one is the negative reciprocal of the other, where the slope of the line in slope intercept form is the coefficient of x.

For the first line, the slope is 4/9. A perpendicular line will have slope -9/4.

For the second line, the slope is 5. The negative reciprocal is -1/5, which is the third line.

Therefore, the second and third lines are perpendicular.

R^2 Retired

RELATED QUESTIONS

23. Determine which two equations represent perpendicular lines. (a) y = 4/5x – 4 (b) (answered by rodriguezh2)
Determine which two equations represent parallel lines: (a)y=-9x+4 (b)y=9x+4... (answered by tutorcecilia)
Determine which TWO equations represent perpendicular lines. (1) y = 2x - 9 or (2) y =... (answered by venugopalramana)
Can you please help me solve this problem...instructions...determine which two equations... (answered by Alg_Whiz_Kid)
Determine which two equations represent perpendicular lines. a)y=4/9x-3 b)y=3x-4/9 (answered by mangopeeler07)
Determine which two equations represent perpendicular lines. (a) y=5x-5 (b) y=1/5x+5... (answered by funmath)
Determine which two equations represent parallel lines. (a) y = 9x – 9 (b) y = –9x + 9 (answered by jim_thompson5910)
I am supposed to determine which two equations represent parallel lines: (a) y=-9x+4... (answered by Earlsdon)
Which two equations represent parallel lines?? a. y = 9x + 6 b. y = 4/9x + 1 c. y =... (answered by user_dude2008)