Question

The Jackson family rents 6 movies each month. Draw a graph of movies rented versus time. Find the value of the slope and interpret it in words

Answer 1

Let us say "y" coordinate represents number of movies and "x" coordinate represents number of months.

Movies watched in 1st month = 6

so we can say first ordered pair is (1,6)

Movies watched in 2nd month =6

so we can say second ordered pair is (2,6)

Now we have two points here (1,6) and (2,6)

We can use formula for slope as :

$slope = \frac{y2-y1}{x2-x1}$

$slope = \frac{6-6}{2-1}$

slope = 0

The slope of a horizontal line. A horizontal line has slope 0 because all its points have the same y-coordinate. As a result, the formula used for slope evaluates to 0.

The graph is shown here:

The equation of graph would be y=6.