Question

HELP!!!! Can someone please help me with this??

Line L is perpendicular to a line m with equation -6x + 2y = -48. Line L intersects line m at (7, -3). The equation of line L, in standard form is, ________???

Answer 1

you gotta find the slope of \(-6x+2y=-48\) first before you can find the slope of the perpendicular line
do you know it?

Answer 2

Yes, I know that part

Answer 3

what did you get?

Answer 4

for the slope i mean

Answer 5

1/3x -y = -.75 I'm not sure if it's right

Answer 6

For standard form

Answer 7

no it is not right

Answer 8

oops no it isn't

Answer 9

the slope of \(-6x+2y=-48\) is \(3\)

Answer 10

Ok, I got that part, but I need the line perpendicular to that

Answer 11

your line, being perpendicular, will have a slope of \(-\frac{1}{3}\) the "negative reciprocal"

Answer 12

and you have to write it in "standard form" correct?

Answer 13

What is the equation of the perpendicular line in Y-intercept form? Yes, in standard form

Answer 14

start with the point slope form \[y=y_1=m(x-x_1)\] using \(x_1=7,y_1=-3,m=-\frac{1}{3}\)

Answer 15

I already have the slope

Answer 16

yeah and the point too

Answer 17

What do you mean by the point?

Answer 18

Line L intersects line m at (7, -3)

Answer 19

so the point is \((7,-3)\)

Answer 20

ok, I got that

Answer 21

you want to start with \[y+3=-\frac{1}{3}(x-7)\]

Answer 22

How do you get from there to the standard form?

Answer 23

i would multiply everything by 3 to get rid of obnoxious fraction

Answer 24

let me know what you get

Answer 25

ok

Answer 26

I don't know how to do that.

Answer 27

\[3(y+3)=3\times -\frac{1}{3}(x-7)\]

Answer 28

then the fraction is gone, you get \[3y+9=-(x-7)\] now distribute the minus sign on the right

Answer 29

you good from there?

Answer 30

No, we have not learned this way

Answer 31

not sure what you learned, but this is what you need if you are to put in in standard form

Answer 32

Ok 3y+9=-x+7

Answer 33

We have weekly quizzes, but are not taught in class for them

Answer 34

ok then to put the x on the left, add x to both sides \[x+3y+9=7\] and finally subtract 9

Answer 35

I don't know how to do that

Answer 36

Wait

Answer 37

x+3y=-2

Answer 38

Is that right?

Answer 39

yes

Answer 40

btw i don't believe you do not know how to subtract 9
just saying ..

Answer 41

I am exhausted right now, sorry

Answer 42

So, what do I do from there? Is that the final answer?

Answer 43

now you have a snack, you are done

Answer 44

WHEW!!! Thanks!!!!!! You are awesome!!!