Question

Write the equation of the line that is perpendicular to the line y = three halvesx + 4 and passes through the point (-6, 3).

y = three halvesx - 1
y = three halvesx + 3
y = -two thirdsx - 1
y = -two thirdsx + 3

Answer 1

@TuringTest @TheSmartOne @King.Void.

Answer 2

Not good at Math.
Sorry.

Answer 3

ok thank you anyways @King.Void.

Answer 4

@misty1212

Answer 5

HI!!

Answer 6

Hi!!!

Answer 7

it would be good to use the equation tool, so you don't have to say things like "three halves"
that is why people invented numerals

Answer 8

\[y=\frac{3}{2}x+4\]

Answer 9

you know what the slope of that is?

Answer 10

no @misty1212

Answer 11

i bet you do!
the slope of \(y=mx+b\) is \(m\) so the slope of \(y=\frac{3}{2}x+4\) is ?

Answer 12

uhhh 3/2

Answer 13

yes

Answer 14

ok

Answer 15

srry math is not my greatest subject so please bear w. me

Answer 16

next question is, what is the slope of the a line perpendicular to a line with slope \(\frac{3}{2}\) ?

Answer 17

i have no clue may you explain to me more

Answer 18

take the number \(\frac{3}{2}\) and flip it
then put a minus sign in front
it is called the "negative reciprocal"

Answer 19

ok so th negative reciprocal is -2/3

Answer 20

right
that narrows your choices

Answer 21

ok so we will eliminate c and d right

Answer 22

yea so it is one of the last two choices
\[y=-\frac{2}{3}x+3\] or \[y=-\frac{2}{3}x-1\]

Answer 23

because both of those have slope \(-\frac{2}{3}\) as we now know that the slope of \(y=mx+b\) is \(m\)

Answer 24

yes

Answer 25

how are you going to choose?

Answer 26

ummm find the slope-intercept form

Answer 27

y= mx +b i think

Answer 28

you can do that
start with the point slope form
\[y-3=-\frac{2}{3}(x+6)\] and solve for \(y\)

Answer 29

ummm may you help me w. this

Answer 30

y-3 =-2/3x -4 right

Answer 31

yea, then add 3 to get \(y\) by itself

Answer 32

ok

Answer 33

y-3+3=-2/3x -4 + 3

Answer 34

and...

Answer 35

and???

Answer 36

@misty1212

Answer 37

what is \(-3+3\) ?

Answer 38

0

Answer 39

and what is \(-4+3\)?

Answer 40

-1 @misty1212

Answer 41

ok good
then final answer is
\[y=-\frac{2}{3}x-1\]

Answer 42

that means my answer is d right

Answer 43

thank you may you help me w .another and i will repost