Question

Can someone please help me with this question? Please?
A line with slope 1/3 passes through the point (3, 6). Which point also lies on this line?
a. (6, 3)
b. (7, 6)
c. (-3, -3)
d. (-6, 3)

Answer 1

@hartnn Could you please try to help me?

Answer 2

Point slope form of the equation of line
\(y-y_1 = m (x-x_1)\)

plug in m = 1/3
x1, y1 = 3,6

and get the equation first! :)

Answer 3

so

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

Answer 4

yes!
now plug in each option in this,
and see for which option do you get left side = right side.

Answer 5

for ex:
x,y = 6,3

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

-3 = 1/3(3)
-3 = 1
which is FALSE

so 6,3 is not the answer.

try others

Answer 6

x,y= 7,6
3-6=1/3(7-6)
-3=1/3(1)
-3=1
which is FALSE

so 7,6 is not the answer.
Is this right?

Answer 7

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

x,y = 7,6 gives

6-6 = 1/3 (7-3)

continue....

Answer 8

0=1/3(4)?

Answer 9

and thats false.
so try others :)

Answer 10

@hartnn I am so sorry, my computer restarted and messed up

Answer 11

okk, no problem...did you try 3rd option?

Answer 12

x,y= (-3, -3)
-3-6=1/3(-3-3)
-9=1/3(-6)
-9=-6
which is FALSE
so -3,-3 is not the answer.
Is this right?

Answer 13

-6/3 = -2
-9 = -2 is false.

so the answer must be the 4th option!

Answer 14

okay!! thank you very much for the help!!

Answer 15

welcome ^_^