Question

I need help please The equation of line XY is (y−3) = negative 2 over 3(x − 4). What is the slope of a line perpendicular to XY?

Answer 1

I think its -2/3

Answer 2

Is the equation of Line XY \[y-3=-2/3(x-4)\]

Answer 3

yes

Answer 4

What is the slope of a line perpindicular to another line?

Answer 5

its reciprocal?

Answer 6

yes, but there is one more thing, it is the negative reciprocal

Answer 7

You find the reciprocal of the slope, but multiply it by -1 as well.

Answer 8

I really dont understand algebra

Answer 9

Okay, how about this. If the slope of XY is -2/3 what happens when you turn it upside down and change the sign?

Answer 10

2/-3

Answer 11

Actually it would be 3/2. The reciprocal would be -3/2 and changing the sign makes it just 3/2

Answer 12

ooh i thought you just turn them

Answer 13

3/2 is the reciprocal of 2/3, 2 is the reciprocal of 1/2, 1/3 would be the reciprocal of what?

Answer 14

You turn the numerator into the denominator and the denominator into the numerator

Answer 15

3/1

Answer 16

exactly :)

Answer 17

thank you how about this one The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6).

Answer 18

What is the slope? It is "rise over run" right? Or the change in y over the change in x.

Answer 19

I believe rise over run i think

Answer 20

If the equation of the line is y=-(1/2)x+1 then the slope is -1/2 right?
What is the slope of the perpendicular line? What is the negative reciprocal of -1/2?

Answer 21

2/-1

Answer 22

Yes, you got this down.

Now we just need to find a line with that slope and passes through 5,6

Answer 23

ok

Answer 24

Oh wait, I missed the -1... it shoudl actually be 2/1 since it is the negative reciprocal of -1/2, remember to change the sign.

Answer 25

so our new line has a slope of 2, the slope = the change in y over the change in x.
m=(y-6)/(x-5)

Answer 26

is it y=2x-3

Answer 27

y-6 is the change of the line from some point y and 6 which is the point it needs to pass through, x-5 is the change in the line where x is some point and 5 is the x value the line has to pass through.

Answer 28

m=2=(y-6)/x-5)
y-6=2(x-5)
y=2x-4

Answer 29

You can check your equation by sustituting (5,6) into it.
If x = 5 then y=2(5)-4=6

Answer 30

ohh lol I was looking at the wrong question thank you though