Question

Can someone please help me..? http://prntscr.com/ag7ybm

Answer 1

0,2 and -1,2.33

Answer 2

I would firstly find the equation of the line and then plot the option points to check which is the correct one.
You could identify them graphically and deduce through estimation which one is a point belonging to the line.

Answer 3

Alright, How would I know which ones are correct though?

Answer 4

Looking at the point (1,3) for example.
if you locate it on the reference system, this being the cartesian plane, you can see that the point is too high up and does not have anything to do with the line.
There are two notable points we can point out easily, since any line will cut the x-axis and the y-axis in some point.

Answer 5

So to find the answer all I need to do is line the coordinates like the picture..?
Like this? http://prntscr.com/ag81ob

Answer 6

Those two points are correct, you are missing one.

Answer 7

The (0,2)?

Answer 8

Owl, are you there? @Owlcoffee

Answer 9

That's correct.
Then again, we can deduce the equation of the line by utilizing the two notable points (6,0) and (0,2).
We calculate the slope and plot it into the equation form:
\[m=\frac{ 2 }{ -6 } \iff m=-\frac{ 1 }{ 3 }\]
\[(y-2)=(-\frac{ 1 }{ 3 })(x) \iff 3y-6=-x \iff x+3y-6=0 \]
And to assure that (-1, 2,33) belongs in the line, we just plot it:
\[(-1)+3(2,33)-6=0 \]
and you can see that the point seems to belong in the line (won't fit very well to the calculations since 2,33 is an approximated number).

Answer 10

So, 0,2 6,0 and -1,2.33 are the correct answers?

Answer 11

Yes.

Answer 12

Thank you! ^-^