Question

Select the equation of a line that is perpendicular to the line on the graph and passes through the point (3,2)

Answer 1

A. Y=1/3 x+3
B. Y=-1/3 x +3
C. Y=3x+2
D. Y=-1/3x+2

Answer 2

please post the graph

Answer 3

I posted an image with the question:)

Answer 4

Here it is:)

Answer 5

thanks

Answer 6

what two points lie on this line?

Answer 7

(0,-2)? Is that one

Answer 8

Sorry I meant positive 2

Answer 9

no, (0,-2) is not a point on the graph you posted

Answer 10

yes (0,2) is

Answer 11

what else?

Answer 12

Is (1,5) one? Sorry I'm a little confused

Answer 13

And (-1,-1)?

Answer 14

(1,5) is another

Answer 15

we only need 2 points to find the slope

Answer 16

do you know the slope formula?

Answer 17

Ok!:) what next?

Answer 18

does this formula look familiar?

\[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

Answer 19

The slope is 3, correct?

Answer 20

correct

Answer 21

Ok great!:) now what?

Answer 22

think of 3 as 3/1

flip the fraction: 3/1 -----> 1/3

then flip the sign: +1/3 ----> -1/3

---------------------------------

the original slope is 3/1
the perpendicular slope is -1/3

Answer 23

the perpendicular line has a slope of -1/3 and it goes through (3,2)

Answer 24

Oh ok that makes sense, so it's either b or d?

Answer 25

start with y = mx+b