Question

Passes through 2,6 and is perpendicular to y=3x-6

Answer 1

@SolomonZelman I have no clue on how to do perpendicular ones o; I only have 2 of them to do though

Answer 2

please note that the slope m of your line is :
\[m=-\frac{ 1 }{ 3 }\]
because product of the slopes of perpendicular lines has to be equal to 1
so,please apply the subsequent equation:
\[y-y _{0}=m(x-x _{0})\]
where (x_0,y_0) is your point and m=-1/3

Answer 3

oop the product of the slopes of perpendicular lines has to be equal to -1

Answer 4

o;

Answer 5

Yes. A perpendicular slope of any slope is flipped and negated. If the original slope was -1/3, your perpendicular slope would be 3/1.

Answer 6

1/12 is the answer

Answer 7

Do you know where to go from there?

Answer 8

thats what i got

Answer 9

y=3x+1/12

Answer 10

@dtan5457 please note that the original slope is 3

Answer 11

@Michele_Laino

I am aware. I was just setting an example.

Answer 12

oops.. sorry @dtan5457

Answer 13

thanks to both of u :D

Answer 14

you guys have time for 1 more?

Answer 15

thank you! @ayeitsJenni.

Answer 16

yes!

Answer 17

passes through -1,5 and is perpendicular to y=-5/2x+2

Answer 18

im not good with fractions.

Answer 19

please, note that if I have this fraction: 5/7
the inverse fraction is: 7/5

Answer 20

so what in the inverse fraction of 5/2?

Answer 21

don't you only inverse at the end? when you find the slope which is b..

Answer 22

2/5

Answer 23

ok! now please change its sign and you will get your slope!

Answer 24

-2/5?

Answer 25

that's right!

Answer 26

now, please apply the formula above, where, this time, (x_0,y_0) is the point (-1,5)

Answer 27

and m=-2/5

Answer 28

I don't really get none of this >_<

Answer 29

don't you use y=mx+b?

Answer 30

please, you have to apply this formula:
\[y-y _{0}=m(x-x _{0)}\]
where m=-2/5 as you wote, and (x_0,y_0)=(-1,5)

Answer 31

oh ok

Answer 32

so its y - 5 = -2/5(x--1)

Answer 33

ok! the parentheses, is:
\[(x-(-1))=(x+1)\]

Answer 34

y-5 = -2/5 (x+1)

Answer 35

thats the equation now?

Answer 36

yes! it is!

Answer 37

oh awesome

Answer 38

what do i do now

Answer 39

you have to perform multiplication, namely:
\[-\frac{ 2 }{ 5 }(x+1)=...\]

Answer 40

-2/5x + -2/5

Answer 41

is that it?

Answer 42

yes! please note that:
\[+-\frac{ 2 }{ 5 }=-\frac{ 2 }{ 5 }\]

Answer 43

ok

Answer 44

ok! now you have this equation:
\[y-5=-\frac{ 2 }{ 5 }x-\frac{ 2 }{ 5 }\]
now, please add to both sides 5

Answer 45

y = -2/5x-2/5+5

Answer 46

ok! now you have to perform this addition, please:
\[-\frac{ 2 }{ 5 }+5=...\]

Answer 47

kinda finding it hard to do that

Answer 48

note that the last common multiple is 5, so:
\[-\frac{ 2 }{ 5 }+5=\frac{ -2+5*5 }{ 5 }=\frac{ -2+25 }{ 5 }=\frac{ 23 }{ 5 }\]

Answer 49

is it clear, please?

Answer 50

how do I write down the answer as a fraction, and yes...

Answer 51

ok! now please write your equation

Answer 52

i mean, an equation

Answer 53

How do i write the equation o;

Answer 54

yes!

Answer 55

y=-2/5x+23/5?

Answer 56

well done!
you are welcome!!!!! :)

Answer 57

thanks

Answer 58

thanks!