Find the slope of the line that passes through each pair of points e (1,2), f(4,7)

5/3

Step-by-step explanation:

The slope of a line is the ratio of "rise" (change in y-coordinate) to "run" (change in x-coordinate).

The change in y-coordinate from E to F is from 2 to 7, a change of 7-2 = 5.

The change in x-coordinate from E to F is from 1 to 4, a change of 4-1 = 3.

The slope is the ratio of these changes:

... slope = 5/3

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: