Question

Finding the Slope of a Line

> Use the information provided to find the slope of each line. State what the slope
represents.
Seconds 0 5 10
Feet To 30 60
Hours 0 2 5

Answer 1

For the points given, the slope is 6, indicating the line rises 6 feet for every second that passes.

Step-by-step explanation:

To find the slope of a line, you need two points from the line. In this scenario, you'll use the points representing seconds and feet.

The slope is calculated by the change in feet divided by the change in seconds, which can be formulated as (y2 - y1) / (x2 - x1).

Let's say we choose the points (0 seconds, 0 feet) and (10 seconds, 60 feet).

The slope would be calculated as follows:

1. Subtract the y-coordinates (feet) of the two points: 60 feet - 0 feet = 60 feet.
2. Subtract the x-coordinates (seconds) of the two points: 10 seconds - 0 seconds = 10 seconds.
3. Divide the difference in feet by the difference in seconds to find the slope: 60 feet / 10 seconds = 6 feet per second.

This slope represents the rate of change, meaning for this line, for every second that passes, the distance changes by 6 feet.