Concept explainers
Robi has run the first 4 miles of a race in 30 minutes. She reached the 6 mile point after 45 minutes. Without graphing, is the slope of the line that represents this situation positive, negative, zero, or undefined? What is the slope?
To calculate: slope of line
Answer to Problem 6STP
Explanation of Solution
Given information: Distance travelled in 30 minutes is 4 miles and 6 miles in 45 minutes.
Formula used: Slope of a line joining points
Calculation:
Slope is positive if one variable increases as the other variable increases.
Take the first variable as distance travelled and the second variable as time.
Consider the following table:
Time (minutes) | Distance travelled (miles) |
30
| 4
|
45
| 6
|
Here, distance travelled (one variable) increases from 4 miles to 6 miles as time (other variable) increases from 30 minutes to 45 minutes.
So,
Slope is positive.
Take
Slope of a line joining points
Therefore,
Slope
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