Question

I just want to know what they mean by this...?

Does the point represent a point on the graph of y=x-4?

Answer 1

It is asking if the point (I assume some point was given) is an `(x,y)` solution to the equation `y=x-4`

Explanation:

For example:

Consider the point `(12,8)`

`(12,8)` represents a point whose `color(red)(x)`-coordinate is `color(red)(12)` and whose `color(blue)(y)`-coordinate is `color(blue)8`

The question is asking is `color(red)x=color(red)(12)` and `color(blue)y=color(blue)8` a valid solution to the equation:
`color(red)y=color(blue)x-4`?

(Hopefully, you will agree that the answer is "yes" for this particular example).