Given: The points are A(-5, 1), B(5, 5) and C(10, 7).

Note: Three points are collinear if the sum of lengths of any sides is equal to the length of the third side.

AB

= 2√29 units …..(1)

BC

= √29 units …..(2)

AC

= 3√29 units …..(3)

From equations 1, 2 and 3, we have

AB + BC = AC

Therefore, the three points are collinear.