Given the following graph calculate the slope and uncertaint

Given the following graph, calculate the slope and uncertainty in the slope.

Solution

Slope of line is same as the slope of the solid line, which is = (Change in Y)/(Change in X) = 15.3/5.5= 153/55 or 2.78 (Answer)

Uncertainty in slope is the difference between the slope of the solid line and any one of the dotted lines.

Slope of dotted line = (Change in y)/(change in x) = (15.3+2.1/2)/(5.5-1.4/2) = (15.3+1.05)/(5.5-0.07) = 16.35/5.43 = 3.01

Therefore,

Uncertainty in slope = Slope of solid line ~ slope of dotted line = 2.78 ~ 3.01 = 0.23 (Answer)