To find the slope, use any two points that lie on the line.
Graph:
Slope: 6 Interpretation of the Slope: See solution.
Practice makes perfect
We are asked to draw a graph of movies rented versus time, find the value of the slope, and interpret it in words. Let's start by making a table to find the number of movies rented by the Jackson family after 0, 1, 2, 3, and 4 months.
Time (months)
0
1
2
3
4
Number of Movies Rented
We know that the family rents 6 movies each month. Using this information, we can complete the table.
Time (months)
0
1
2
3
4
Number of Movies Rented
6(0)=0
6(1)=6
6(2)=12
6(3)=18
6(4)=24
Let's write the two quantities as ordered pairs where the x-coordinate is the time and the y-coordinate is the number of movies rented.
Finally, we will connect the ordered pairs and extend the line to the y-axis.
Next, we will find the slope of the line. Recall that we can calculate the slope of a line using the following formula.
Slope=Change in y/Change in x
Let's start by picking any two points on the line.
Now we can calculate the slope using the formula.
Slope=12-6/2-1= 6/1=6
We got that the slope is 6. The slope of the line is the rate at which the Jackson family rents movies. This rate means that the number of movies rented by the Jackson family increases at 6 movies per month.
