Question

Find the equation of the line with the given properties. Express the equation in general form or slope-intercept form.

perpendicular to the line 2x+y=3; contains the point (-2,6)

The equation of the line is____________
Simplify your answer. Type answer in general form or slope-intercept form.

Answer 1

start by solving for y

Answer 2

If given the equation of a line in the form Ax + By = C, then the slope of the line perpendicular to this line is given by\[m =\frac{ B }{ A }\]

Answer 3

y=2x+3
y-6=1/2x+2

I got this part

Answer 4

slow down for a minute

Answer 5

Try again.

Answer 6

first you need to find the inverse of your equation
The gradient of the new line is -(1/grad of old line).

Answer 7

gradient=slope

Answer 8

@malibugranprix2000 do you understand or do you need me to explain it more?

Answer 9

I think I need help, please.

Answer 10

ok so how would you get y by itself?

Answer 11

by moving the 2x+3

Answer 12

but if 2x is positive you need to subtract it to the other side so you would get y=-2x+3

Answer 13

correct?

Answer 14

yes

Answer 15

ok so what is your slope in this equation?

Answer 16

-2

Answer 17

ok now the slope of the new line is -(1/slope)

Answer 18

just let me know if you dont understand where i am going and i will help you through it

Answer 19

so what is the slope?

Answer 20

the slope of the new line is -(1/(-2))

Answer 21

oh I see

Answer 22

so that simplified turns out to be what?

Answer 23

is it 1/2

Answer 24

ok so if we put that into the equation we get y=(1/2)x+b correct

Answer 25

right

Answer 26

in the question they also gave you an x and y value plug those into the equation

Answer 27

do you understand how to do that?

Answer 28

@malibugranprix2000 ?

Answer 29

that is plugged in as x1 and y1

Answer 30

plug it into the equation i just gave you

Answer 31

6=-2x+3

Answer 32

leave b alone and change x instead

Answer 33

and we are entering that into y=(1/2)x+b this equation

Answer 34

@malibugranprix2000 come on i want to get to bed not trying to be mean or anything

Answer 35

oh I am sorry you can go thats fine.

Answer 36

no i want to help we can get it done in 5 min i you just bear with me

Answer 37

so we have 6=(1/2)(-2)+b right

Answer 38

right

Answer 39

6=-1+b

Answer 40

ok now get b by itself

Answer 41

so I am not sure b=-1+6?

Answer 42

you need to add one to both sides

Answer 43

how?

Answer 44

6+1=-1+6+1

Answer 45

because you are adding the same thing to both side they cancel out meaning that the equation is still equal

Answer 46

oh so its 7=-5+1

Answer 47

sorry 6+1=-1+b+1

Answer 48

so the -1 and 1 cancel out and leave b by itself

Answer 49

7=-1+b

Answer 50

nope its just 7=b

Answer 51

oh ok

Answer 52

understand how that works?

Answer 53

yes, thanks a lot

Answer 54

now take the b that we just found and plug it into our new equation y=(1/2)x+b

Answer 55

y=(1/2)x+7

Answer 56

thats it :) hope i helped

Answer 57

let me know if you dont understand any part of it

Answer 58

I think I got it, thanks for your help.

Answer 59

np