i have to find the midpoint...

the two points too find the midpoint are (4,2)&(8,-6).
the equation to get the answer is...
x+x/2 & y+y/2......i came up with (6, -2) being the midpoint on that line; is that correct?

yes, exactly right.

Thankssss(:

To find the midpoint between two points, you can use the midpoint formula. The formula is:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Let's apply this formula to the given points: (4,2) and (8,-6).

Step 1: Identify the coordinates
x1 = 4
y1 = 2
x2 = 8
y2 = -6

Step 2: Apply the formula
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
= ((4 + 8) / 2, (2 + (-6)) / 2)
= (12 / 2, -4 / 2)
= (6, -2)

Therefore, the midpoint between the points (4,2) and (8,-6) is (6, -2).

Well done! Your answer is correct.