what does "(h,k) has the form (a, a+1) since it's on the line y = x + 1" mean?

Question

what does "(h,k) has the form (a, a+1) since it's on the line y = x + 1" mean?

then isn't the x value (a-1). Sorry if this is a dumb question?

Answer 1

On the line given by the equation y = x + 1, every y-coordinate is one greater than the corresponding x-coordinate (hence the equation y = x + 1).

So, if a point (h, k) is on the line y = x + 1, then we know that the y-coordinate k must be one more than the x-coordinate h. That is, k = h + 1. Another way of saying this is that (h, k) has the form (a, a + 1). Note that the y-coordinate a + 1 is one more than the x-coordinate a.

Hope this helps.

EDIT:

The x-value can be called a - 1, but then you will need to call the corresponding y-value "a". Then the point would be
(a - 1, a)
which still has the required form since a is one greater than a -1.

Answer 2

It means that if x = h then k = h+1

Answer 3

h and k are relational values of x and y for a certain linear relation. If the line is y=x+1, then for x=a, where a is finite, y=a+1. So (h,k) has the form (a,a+1)

Answer 4

Because if you let X=a you'll get Y=a+1 (h,k) are presenting X and Y values at that certain point (a, a+1)

Answer 5

here the statement means that if a be a variable parameter then the parametric point (a,a+1) lies on the given line. note that a is any real number.

Answer 6

if it has got something to do with circles then the ans is that h,k are the centre of the circle thru which the line y=x+1 passes...