The points $(1,-1)$, $(4,2)$, $(10,8)$ in the plane are ________.

Step 1 (Formulate Slopes): To determine the relationship between three points $P_1(1,-1)$, $P_2(4,2)$, and $P_3(10,8)$ in the plane, we calculate the slope of the lines passing through pairs of these points.

Step 2 (Slope computation):

• Slope of the segment $P_1{P}_2$ is:

• Slope of the segment $P_2{P}_3$ is:

Step 3 (Conclusion): Since the slope of segment $P_1{P}_2$ equals the slope of segment $P_2{P}_3$, and they share the common point $P_2$, the three points lie on the same straight line. Therefore, they are collinear.