x, y intercepts

Question

I have a math problem of x-y=4 . now how do you get 4 ordered pairs out of this. I could get to 2 but 4?

Answer 1

If you are only looking for the x & y intercepts of the line x - y = 4, there is only one each, occurring at the two ordered pairs (0,-4) & (4,0).

Answer 2

x-y=4

-y=-x+4

y=x-4

x=0,y=-4

x=1,y=-3

x=2,y=-2

x=3,y=-1

x=4,y=0

x=5,y=1

x=6,y=2

x=7,y=3

and so on...

x=-1,y=-5

x=-2,y=-6

x=-3,y=-7

and so on...

You have a straight line and the graph contains infinitely many points and therefore infinitely many ordered pairs: (0,-4), (1,-3), (2,-2), (3,-1), (4,0), (5,1), (6,2), (-1,-5), (-2,-6), ...

Answer 3

Hi April;

You probably already know this...

The y-intercept is the value of y when x=0.

x-y=4

0-y=4

-y=4

y=-4

(0,-4)

 

The x-intercept is the value of x when y=0.

x-y=4

x-0=4

x=4

(4,0)

 

There is only one x-intercept.

There is only one y-intercept.