Question

please help...Write the equation of the line that is perpendicular to the line 3x + y = 7 and passes through the point (6, −1).
y = 1/3x - 3
y = 1/3x + 17
y = - 3x - 3
y = -3x + 17

Answer 1

help

Answer 2

Did you need a second opinion? XD

Answer 3

yeah

Answer 4

lol

Answer 5

I was thinking A

Answer 6

what's the slope of 3x + y = 7 ?

Answer 7

3 I think?

Answer 8

can you put the equation in y = mx + b form ?

Answer 9

well... can you solve that for "y"?

Answer 10

y = 3x + 7 Is y = mx + b form

Answer 11

but i don't knwo what to do neext

Answer 12

well.... it should have been -3x... you'd subtract -3x from both sides

Answer 13

http://www.algebra-class.com/image-files/slope-formula-1.gif <--- this tells you what the slope of that is

Answer 14

opps and oh

Answer 15

so the slope is 3 ?

Answer 16

\(\bf\cancel{-3x+3x} + y = -3x+7\implies y=-3x+7\)

Answer 17

so the slope is -3

a perpendicular line to that, will have a NEGATIVE RECIPROCAL slope
what does that mean?

well,
NEGATIVE of -3?
+3
RECIPROCAL of that?
1/3

so now we know that the line perpendicular to 3x + y = 7 has a slope of 1/3 and passes through (6, -1)

Answer 18

okay

Answer 19

\(\bf \begin{array}{lllll}
&x_1&y_1\\
&(6\quad ,&-1)
\end{array}
\\\quad \\

slope = m= \cfrac{1}{3}
\\ \quad \\

y-y_1=m(x-x_1)\qquad \textit{plug in your values and solve for "y"}\)

Answer 20

so it would be either answer A or B

Answer 21

once you plug in the values in the "point-slope form", solving for "y" will give you the equation

Answer 22

y - 1 = 1/3(x - 6)

Answer 23

then i do the distributive property?

Answer 24

on the right side

Answer 25

well... yes however.... \(\bf \begin{array}{lllll}
&x_1&y_1\\
&(6\quad ,&-1)
\end{array}
\\\quad \\

slope = m= \cfrac{1}{3}
\\ \quad \\

y-y_1=m(x-x_1)\implies y-(-1)=\cfrac{1}{3}(x-6)\implies y+1=\cfrac{1}{3}(x-6)\)

Answer 26

The answer is y=(1/3)x-3

Answer 27

\(\bf y+1=\cfrac{1}{3}(x-6)\implies y+1=\cfrac{1}{3}x-\cfrac{6}{3}\implies y+1=\cfrac{1}{3}x-2\\ \quad \\
y\cancel{+1-1}=\cfrac{1}{3}x-2-1\)

Answer 28

graph the original equation in y=mx+b form

Answer 29

then graph the answers to see which one is perpendicular

Answer 30

did you see the answer choices at the top and sorry my laptop froze up

Answer 31

hello?

Answer 32

That was much easier and so its A

Answer 33

yup :)

Answer 34

thanks so much