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Q: determine whether the lines are perpendicular.

y=x-2, y=-x+4


please!!!!!! i dont get this stuff!!

2007-04-11 14:37:09 · 15 answers · asked by Rachel 1 in Science & Mathematics Mathematics

15 answers

Perpendicular since the slopes are negative reciprocals (1 and -1)

2007-04-11 14:39:34 · answer #1 · answered by richardwptljc 6 · 1 3

These 2 equations are in slope intercept form: y = mx + b
y = 1x - 2 so the slope = 1
y = -1x + 4 so the slope = -1

If lines are parallel, their slopes are equal. These lines are NOT parallel.

If lines are perpendicular, their slopes multiply to give -1. These 2 slopes: 1 * (-1) = -1. So these 2 lines are perpendicular.

Hope that helps!

2007-04-11 21:44:00 · answer #2 · answered by birdwoman1 4 · 1 2

y=mx+b. m is the slope of the line. b is the y intercept point.
m = 1 in the first one and m= -1 in the second one. Looks perpendicular.

2007-04-11 21:42:25 · answer #3 · answered by jfahd 4 · 1 1

if the two lines are perpendicular, then the product of the two rates would give -1. here, they are. 1*-1=-1

2007-04-11 21:45:34 · answer #4 · answered by Nicolas H 1 · 0 0

the product of the slopes of two perpendicular lines is -1.

2007-04-11 21:51:20 · answer #5 · answered by jeffdeg 2 · 0 1

When you have 2 lines of equations
(l1) : y=a1*x+b1
(l2): y=a2*x+b2
then if a1*a2= -1 then they are perpendicular

So in your case, a1=1 and a2= -1
As a1*a2= -1, they are perpendicular

2007-04-11 21:54:38 · answer #6 · answered by Sarkasme 2 · 0 1

y=x-2; m=1



y=-x+4; m=-1

since 1=-1/(-1), they are perpindicular.

2007-04-11 21:46:02 · answer #7 · answered by yupchagee 7 · 0 0

go to the tutoring center at school, or ask your teacher for help. this is real real basic level algebra and it only gets harder from this point on. if you do not grasp the basic concepts you will not pass.

2007-04-11 21:40:08 · answer #8 · answered by anthony 2 · 0 3

Yes, they are due to the fact that if you multiply the slopes together the answer is -1.

2007-04-11 21:39:50 · answer #9 · answered by bruinfan 7 · 0 4

yes, they are perpendicular.

slope of 1st equation is 1
slope of 2nd equation is -1
product of slopes is -1

if product of slopes is -1, lines are perpendicular.

2007-04-11 21:41:00 · answer #10 · answered by Philo 7 · 0 3

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