Question

What is the distance from the point (6,0) to the line y=3x+2?

Answer 1

which distance you want? shortest most likly

Answer 2

the shortest distance is a perpendicular line....

Answer 3

so to find it, we need the line that is perp to this and the point they intersect

Answer 4

Possible answers are
4, \[2\sqrt{10} , \sqrt{26} , and\ 3\sqrt{6}\]
so I guess which ever equals one of those

Answer 5

the perp has a product of slopes that equals -1

3x = -1

x = -1/3

0 = -1/3(6) +b

b = 2

y = (-1/3)x +2

Answer 6

these lines meet at:

3x+2 = (-1/3)x +2

3x + 1/3x = 0

10/3x = 0

x = 0

Answer 7

they appear to meet at the origin...

Answer 8

they meet at (0,2) if anything lol

Answer 9

id go with 4

Answer 10

Per distance formula is \[d= \frac{ \left| ax +by +c \right| }{ \sqrt{a^2 +b^2}}\]

Answer 11

im prolly wrong since i guessed that lol

Answer 12

y = 3x+2 .....

0 = -6/3 +b

0 = -2 +b

b = 2

y = (-1/3)x +2.... that seems to work out

Answer 13

y= 3x+2


get into general form

3x - y + 2 =0

so this means that a=3 , b=-1 and c=2 in our formulas above, and (x,y) are the coordinates of the point ( 6,0)

so x=6 , y=0

Answer 14

d= (9 +2 ) / 2 = 4.5 units

Answer 15

wait thats wrong

Answer 16

3x+2 = (-1/3)x +2

3x = -1/3x

when x=0 right?

Answer 17

(0,2) (6,0)

36 + 4 = 40 = sqrt(40)

Answer 18

2sqrt(10)

Answer 19

got it ;)

Answer 20

d = \[\frac { \left| 3(6) + 0 + 2 \right|}{\sqrt{10} }\]

Answer 21

now your cooking with gas;)

Answer 22

20/ sqrt (10)

Answer 23

wtf

Answer 24

20sqrt(10)
---------
10

Answer 25

yes I know

Answer 26

2 sqrt(10)

Answer 27

need a calculator? :)

Answer 28

Very puzzling question lol

Answer 29

just had to get the sleep of my ears to see what i was doin

Answer 30

Well thank you