Question

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

4x – 12y = 2; (10, –1)

Answer 1

First find the slope of 4x - 12y = 2. What is the slope?

Answer 2

the slope is 2

Answer 3

Are you sure the slope is 2 for 4x - 12y = 2 ?

Answer 4

A. y = 3x + 29
B. y =-3 x + 29
C. y = -1/3 + 29
D. y = -1/3 x + 7

what would be my answer

Answer 5

these are my choices

Answer 6

4x - 12y = 2
-12y = -4x + 2
\[ -\frac{-12y}{-12} = \frac{-4}{-12} + \frac{2}{12} \]
what is the slope now?

Answer 7

Do you want help or just the answer?

Answer 8

both

Answer 9

Ok, what is the slope of 4x - 12y = 2?

Answer 10

the slope is 3 cuz you divide 2 into 4 right

Answer 11

or 2

Answer 12

4x - 12y = 2
-12y = -4x + 2
\[ -\frac{-12y}{-12} = \frac{-4}{-12} + \frac{2}{12} \]
Here is the equation. What is the slope?

Answer 13

slope is 6

Answer 14

4x - 12y = 2
-12y = -4x + 2
\[ -\frac{-12y}{-12} = \frac{-4}{-12}x + \frac{2}{12} \]

equation of a line is y = mx + b
m = slope.
what is the slope now?

Answer 15

IN the equation m = slope.
\( \frac{-4}{-12} \) <---- Reduce and that is the slope of 4x - 12 = 2

Answer 16

i still dont get it is the slope not 6

Answer 17

can you just send me the answer please lol

Answer 18

Ok, the equation we are working with is as followed

4x - 12y = 2

It is in standard form. We are going to put it into slope intercept form. We do this by using the Addition property, which we will add a -4x to eliminate it on one side and bring it over to the other side of the equation.

-4x + 4x - 12y = -4x + 2
-12y = -4x + 2

Now we need to get y all by it self. We do this by using the Multiplication property.

\[ \frac{-12y}{-12} = \frac{-4}{-12} + \frac{2}{12} \]
\[ \frac{-12y}{-12} = \frac{-4}{-12}x + \frac{2}{12} \]
\[ y = \frac{-4}{-12}x + \frac{2}{12} \]

Reduce fractions
\[ y = \frac{1}{3}x + \frac{1}{6} \]

Do you see now and know the slope?

Answer 19

yes

Answer 20

Once you have the slope, which is \( \frac{1}{3} \), the answer is the one with the the opposite sign and is the reciprocal of \( \frac{1}{3} \) Do you know the reciprocal of \( \frac{1}{3} \)

Answer 21

honestlyt not really would that be the 3rd choice

Answer 22

To find the reciprocal of \( \frac{1}{3} \) just flip is \( \frac{3}{1} \) which = 3 and then put an opposite sign and you get the slope of -3. So your answer has a slope of - 3. Do you see one of your answer with that?

Answer 23

y = -3x + 29

Answer 24

Yes, that is the only one with -3 as the slope.

Answer 25

ohh ok that makes sense