In Figure, time and distance graph of a linear motion is given. Two positions of time and distance are recorded as, when T = 0, D = 2 and when T = 3, D = 8. Using the concept of slope, find law of motion, i.e., how distance depends upon time.

Explanation

Let `(T,D)` be any point on the line.

Now, the points `(0,2)`, `(3,8)` and `(T,D)` are collinear.
`:.` With the help of slopes
`(8-2)/(3-0)=(D-8)/(T-3)`
`implies 2T-6=D-8`
`implies =2T+2`
`implies D=2(T+1)`
Which is required relation.