How do I find a point on a line?

Question

How do I find a point on a line? For example, I have the line y=2/3x-1/3. Now, How do I find a point on that line? Please help me? I have no idea what to do?!

Answer 1

y = (⅔)x-⅓

The value of x tells you the value of y.

Choose a value for x. I usually start with x=0.

Plug the value into the equation and solve for y:

y = (⅔)0-⅓

= -⅓

(0, -⅓) is a point on the line.

Try another x value, say ½. Plug ½ into the equation:

y = (⅔)½-⅓

= 0

So (½, 0) is another point on the line.

Lather, rinse, repeat.  :)

http://www.flickr.com/photos/dwread/2809...

Answer 2

choose any number you want as your "x", say 0, it is the simplest.

Replace the x in the above equation and solve for 'y'

so x=0, => y=2/3(0)-1/3, =>y=-1/3

Therefore a point on this line is (0,-1/3)

Answer 3

If you're given a line's equation, to find a point on that line, plug in any x you want and solve for y.  That's your point:

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

I'll use x = 3

y = (2/3)(3) - 1/3

y = 2 - 1/3

y = 6/3 - 1/3

y = 5/3

The point is (3, 5/3)

If I use x = 0:

y = (2/3)(0) - 1/3

y = 0 - 1/3

y = -1/3

The point is (0, -1/3)