Question

The following equation lnN - N₀ = -kt Of time t is plotted on x-axis and lnN is plotted on y-axis, what are the slopes and y-intercept algebraically? Hint: lnN = lnN - LnN₀

Answer 1

Answer:

-k slope

The term No is the y intercept(does not mean NO) y-intercept

Explanation:

For a straight line graph, the normal equation could be written as

y = mx + c

Where m is the slope and c is the y intercept.

Writing the equation is the form of y = mx + c gives the following;

lnN = -kt + No

As obtained from the question, t is plotted in the x-axis, while lnN is the plot on the y-axis.

Now, we are asked to obtain the slope and the y-intercept. It can be seen that the slope is the coefficient of the term x in this case t. Hence, our slope is -k.

The y-intercept is the other term which in this case is No