One way you could achieve this the following:

• Create a point in the middle of the screen, with a random height; you now have two sections, one on each side of this point
• For every section, divide into two placing a point in the middle of this section, with (ranged) random height between its two neighbours
• Repeat n times.

What happens is detail in the scenery gets finer with each iteration.

How you handle boundary cases is up to you: you could assume points at (0,height/2) and (width,height/2) for instance.

Hope this helps!

EDIT: Here is a picture I made for illustration:

This is the same idea!

One way you could achieve this the following:

• Create a point in the middle of the screen, with a random height; you now have two sections, one on each side of this point
• For every section, divide into two placing a point in the middle of this section, with (ranged) random height between its two neighbours
• Repeat n times.

What happens is detail in the scenery gets finer with each iteration.

How you handle boundary cases is up to you: you could assume points at (0,height/2) and (width,height/2) for instance.

Hope this helps!

EDIT: Here is a picture I made for illustration:

This is the same idea!

One way you could achieve this the following:

• Create a point in the middle of the screen, with a random height; you now have two sections, one on each side of this point
• For every section, divide into two placing a point in the middle of this section, with random height between its two neighbours
• Repeat n times.

What happens is detail in the scenery gets finer with each iteration.

How you handle boundary cases is up to you: you could assume points at (0,height/2) and (width,height/2) for instance.

Hope this helps!

One way you could achieve this the following:

• Create a point in the middle of the screen, with a random height; you now have two sections, one on each side of this point
• For every section, divide into two placing a point in the middle of this section, with (ranged) random height between its two neighbours
• Repeat n times.

What happens is detail in the scenery gets finer with each iteration.

How you handle boundary cases is up to you: you could assume points at (0,height/2) and (width,height/2) for instance.

Hope this helps!

EDIT: Here is a picture I made for illustration:

This is the same idea!