Answer:
Slope= [tex]\frac{x2-x1}{t2-t1}[/tex]
Explanation:
We are supposed to find the slope in a position time graph,
For that we need atleast two points [tex](t1,x1),(t2,x2)[/tex].([tex](x,y )[/tex] represents there coordinates in respective axis directions.)
In the given case the y axis would be the position and the x axis as time .
Slope is defined as the ratio of change in y coordinate to change in x coordinate :- [tex]\frac{y2-y1}{x2-x1}[/tex]
So subsituting the coordinates of position and time we get slope as:-
[tex]\frac{x2-x1}{t2-t1}[/tex]
[When we have more than two points which are not collinear then to calculate the slope we take the average.]
