Question

What is the slope of a line perpendicular to x - 3y = 9?

Answer 1

@dan815 @shrutipande9

Answer 2

Convert to slope-intercept form first.

Answer 3

x - 3y = 9

Subtract 'x' to both sides:

-3y = -x + 9

Divide -3 to both sides:

y = 1/3x - 3

Answer 4

get your equation into the standard form
y=mx+c

then your perpendicular gradient to this line would be the negative reciprocal of m

Answer 5

Now it's in slope intercept form, y = mx + b, where 'm' is the slope, and 'b' is the y-intercept.

Answer 6

So what's the slope here?

Answer 7

idk how to do that stuff

Answer 8

What's the slope of y = 1/3x - 3?

y = mx + b, 'm' is the slope

Answer 9

so the answer is 1?

Answer 10

Not quite, it's the fraction before 'x'

Answer 11

so its 3?

Answer 12

Fraction.

\(\sf y = \dfrac{1}{3}x - 3\)

Answer 13

The slope is \(\sf\dfrac{1}{3}\).

Answer 14

Perpendicular lines have opposite reciprocal slopes, so switch the two numbers, can you do that?

Answer 15

this is confusing!

Answer 16

Not really.

\(\sf y = \color{red}mx + b\)

\(\sf y = \color{red}{\dfrac{1}{3}}x-3\)

The red parts are the slope.

Answer 17

no the answer is 1/3?

Answer 18

so*

Answer 19

No, that's the slope of this line, it's asking for the slope that's perpendicular to the line.

Answer 20

so -3?

Answer 21

Yes!

Answer 22

thats bullcrap lol

Answer 23

That's our answer.

\(\sf\dfrac{1}{3}\)

Flip the fraction:

\(\sf\dfrac{3}{1} \rightarrow 3\)

Multiply by -1:

\(\sf 3 \times -1 = -3\)

Answer 24

Lol, you'll get used to it :P

Answer 25

thanks

Answer 26

i got like 5 more lol